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@phdthesis{ Abb89, author = {Abbott, J. A.}, title = {On the Factorization of Polynomials over Algebraic Fields}, month = {September}, school = {School of Mathematical Sciences, University of Bath}, year = {1989}, printedkey = {Abb89} } @article{ AL94, author = {Alvis, D. and Lusztig, G.}, title = {Correction to the paper: {T}he representations and generic degrees of the {H}ecke algebra of type {$H_4$} [{J}. {R}eine {A}ngew. {M}ath. {\bf 336} (1982), 201{\textendash}212; {MR}0671329 (84a:20013)]}, journal = {J. Reine Angew. Math.}, volume = {449}, year = {1994}, pages = {217{\textendash}218}, crossref = {AL82}, note = {Correction: ibid. \bf 449, 217{\textendash}218 (1994)}, coden = {JRMAA8}, fjournal = {Journal f{\"u}r die Reine und Angewandte Mathematik}, issn = {0075\texttt{\symbol{45}}4102}, mrclass = {20C15}, mrnumber = {1268587 (95a:20005)}, mrreviewer = {Bhama Srinivasan}, printedkey = {AL94} } @article{ AL82, author = {Alvis, D. and Lusztig, G.}, title = {The representations and generic degrees of the {H}ecke algebra of type {$H_4$}}, journal = {J. Reine Angew. Math.}, volume = {336}, year = {1982}, pages = {201{\textendash}212}, crossref = {AL94}, note = {Correction: ibid. \bf 449, 217{\textendash}218 (1994)}, coden = {JRMAA8}, fjournal = {Journal f{\"u}r die Reine und Angewandte Mathematik}, issn = {0075\texttt{\symbol{45}}4102}, mrclass = {20C15}, mrnumber = {671329 (84a:20013)}, mrreviewer = {Bhama Srinivasan}, printedkey = {AL82} } @article{ Alv87, author = {Alvis, D.}, title = {The left cells of the {C}oxeter group of type {$H_4$}}, journal = {J. Algebra}, volume = {107}, number = {1}, year = {1987}, pages = {160{\textendash}168}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C15 (20C30 20H15)}, mrnumber = {883878 (88d:20014)}, mrreviewer = {Bhama Srinivasan}, printedkey = {Alv87} } @incollection{ AMW82, author = {Arrell, D. G. and Manrai, S. and Worboys, M. F.}, editor = {Campbell, C. M. and Robertson, E. F.}, booktitle = {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)}, title = {A procedure for obtaining simplified defining relations for a subgroup}, publisher = {Cambridge Univ. Press}, series = {London Math. Soc. Lecture Note Ser.}, volume = {71}, address = {Cambridge}, year = {1982}, pages = {155{\textendash}159}, crossref = {GrpsStAndrews81}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}28974\texttt{\symbol{45}}2}, mrclass = {20F05 (20\texttt{\symbol{45}}04)}, mrnumber = {679157 (84a:20041)}, keywords = {finitely presented groups; subgroup presentation, simplification; modified Todd Coxeter (mtc), tree decoding; algorithm description}, printedkey = {AMW82} } @incollection{ AR84, author = {Arrell, D. G. and Robertson, E. F.}, editor = {Atkinson, M. D.}, booktitle = {Computational group theory (Durham, 1982)}, title = {A modified {T}odd\texttt{\symbol{45}}{C}oxeter algorithm}, publisher = {Academic Press}, address = {London}, year = {1984}, pages = {27{\textendash}32}, crossref = {Durham1982}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20F05 (20\texttt{\symbol{45}}04)}, mrnumber = {760644 (86g:20042)}, mrreviewer = {I. D. Macdonald}, keywords = {finitely presented groups; subgroup presentation, simplification; modified Todd Coxeter (mtc), tree decoding; algorithm description}, printedkey = {AR84} } @book{ Art68, author = {Artin, E.}, title = {Galoissche {T}heorie}, publisher = {Verlag Harri Deutsch}, address = {Zurich}, year = {1973}, pages = {86}, note = {{\"U}bersetzung nach der zweiten englischen Auflage besorgt von Viktor Ziegler, Mit einem Anhang von N. A. Milgram, Zweite, unver{\"a}nderte Auflage, Deutsch\texttt{\symbol{45}}Taschenb{\"u}cher, No. 21}, mrclass = {12\texttt{\symbol{45}}02}, mrnumber = {0392905 (52 \#13718)}, printedkey = {Art73} } @phdthesis{ Bau91, author = {Baum, U.}, title = {Existenz und effiziente {K}onstruktion schneller {F}ouriertransformationen {\"u}beraufl{\"o}sbarer {G}ruppen}, school = {Rheinische Friedrich Wilhelm Universit{\"a}t Bonn}, address = {Bonn, Germany}, year = {1991}, printedkey = {Bau91}, type = {Dissertation} } @article{ BC94, author = {Baum, U. and Clausen, M.}, title = {Computing irreducible representations of supersolvable groups}, journal = {Math. Comp.}, volume = {63}, number = {207}, year = {1994}, pages = {351{\textendash}359}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20C40 (20C15 68Q40)}, mrnumber = {1226811 (94i:20029)}, mrreviewer = {Wolfgang Lempken}, printedkey = {BC94} } @inproceedings{ BCFS91, author = {Babai, L. and Cooperman, G. and Finkelstein, L. and Seress, {\a'A}.}, booktitle = {Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991}, title = {Nearly Linear Time Algorithms for Permutation Groups with a Small Base}, publisher = {ACM Press}, year = {1991}, pages = {200{\textendash}209}, crossref = {ISSAC91}, printedkey = {BCFS91} } @article{ BC76, author = {Beetham, M. J. and Campbell, C. M.}, title = {A note on the {T}odd\texttt{\symbol{45}}{C}oxeter coset enumeration algorithm}, journal = {Proc. Edinburgh Math. Soc. (2)}, volume = {20}, number = {1}, year = {1976}, pages = {73{\textendash}79}, fjournal = {Proceedings of the Edinburgh Mathematical Society. Series II}, issn = {0013\texttt{\symbol{45}}0915}, mrclass = {20F05}, mrnumber = {0399265 (53 \#3116)}, mrreviewer = {D. L. Johnson}, keywords = {finitely presented groups; subgroup presentation; modified Todd Coxeter (mtc); algorithm description}, printedkey = {BC76} } @article{ Ben76, author = {Benard, M.}, title = {Schur indices and splitting fields of the unitary reflection groups}, journal = {J. Algebra}, volume = {38}, number = {2}, year = {1976}, pages = {318{\textendash}342}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C30}, mrnumber = {0401901 (53 \#5727)}, mrreviewer = {Larry C. Grove}, printedkey = {Ben76} } @article{ BC72, author = {Benson, C. T. and Curtis, C. W.}, title = {On the degrees and rationality of certain characters of finite {C}hevalley groups}, journal = {Trans. Amer. Math. Soc.}, volume = {165}, year = {1972}, pages = {251{\textendash}273}, fjournal = {Transactions of the American Mathematical Society}, issn = {0002\texttt{\symbol{45}}9947}, mrclass = {20C30}, mrnumber = {0304473 (46 \#3608)}, mrreviewer = {A. Dress}, printedkey = {BC72} } @article{ Ber76, author = {Berger, T. R.}, title = {Characters and derived length in groups of odd order}, journal = {J. Algebra}, volume = {39}, number = {1}, year = {1976}, pages = {199{\textendash}207}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C15}, mrnumber = {0396729 (53 \#590)}, mrreviewer = {I. M. Isaacs}, printedkey = {Ber76} } @mastersthesis{ Besche92, author = {Besche, H. U.}, title = {Die {B}erechnung von {C}haraktergraden und {C}harakteren endlicher aufl{\"o}sbarer {G}ruppen im {C}omputeralgebrasystem {GAP}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1992}, printedkey = {Bes92}, type = {Diplomarbeit} } @article{ BescheEick98, author = {Besche, H. U. and Eick, B.}, title = {Construction of finite groups}, journal = {J. Symbolic Comput.}, volume = {27}, number = {4}, year = {1999}, pages = {387{\textendash}404}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20\texttt{\symbol{45}}04 (20D05 20D10)}, mrnumber = {1681346 (2000c:20001)}, mrreviewer = {Eamonn A. O'Brien}, printedkey = {BE99} } @article{ BescheEick1000, author = {Besche, H. U. and Eick, B.}, title = {The groups of order at most 1000 except 512 and 768}, journal = {J. Symbolic Comput.}, volume = {27}, number = {4}, year = {1999}, pages = {405{\textendash}413}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20\texttt{\symbol{45}}04 (20D05 20D10)}, mrnumber = {1681347 (2000c:20002)}, mrreviewer = {Eamonn A. O'Brien}, printedkey = {BE99} } @article{ BescheEick768, author = {Besche, H. U. and Eick, B.}, title = {The groups of order {$q^n \cdot p$}}, journal = {Comm. Algebra}, volume = {29}, number = {4}, year = {2001}, pages = {1759{\textendash}1772}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20D60}, mrnumber = {1853124 (2002f:20028)}, printedkey = {BE01} } @article{ BEO00, author = {Besche, H. U. and Eick, B. and O'Brien, E. A.}, title = {The groups of order at most 2000}, journal = {Electron. Res. Announc. Amer. Math. Soc.}, volume = {7}, year = {2001}, pages = {1{\textendash}4 (electronic)}, fjournal = {Electronic Research Announcements of the American Mathematical Society}, issn = {1079\texttt{\symbol{45}}6762}, mrclass = {20D60}, mrnumber = {1826989}, printedkey = {BEO01} } @article{ BEO01, author = {Besche, H. U. and Eick, B. and O'Brien, E. A.}, title = {A millennium project: constructing small groups}, journal = {Internat. J. Algebra Comput.}, volume = {12}, number = {5}, year = {2002}, pages = {623{\textendash}644}, fjournal = {International Journal of Algebra and Computation}, issn = {0218\texttt{\symbol{45}}1967}, mrclass = {20D99}, mrnumber = {1935567 (2003h:20042)}, mrreviewer = {Robert M. Guralnick}, printedkey = {BEO02} } @article{ BFS79, author = {Beyl, F. R. and Felgner, U. and Schmid, P.}, title = {On groups occurring as center factor groups}, journal = {J. Algebra}, volume = {61}, number = {1}, year = {1979}, pages = {161{\textendash}177}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20E22}, mrnumber = {554857 (81i:20034)}, mrreviewer = {Richard E. Phillips}, printedkey = {BFS79} } @article{ EOB99, author = {Eick, B. and O'Brien, E. A.}, title = {Enumerating {$p$}\texttt{\symbol{45}}groups}, journal = {J. Austral. Math. Soc. Ser. A}, volume = {67}, number = {2}, year = {1999}, pages = {191{\textendash}205}, note = {Group theory}, coden = {JAMADS}, fjournal = {Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics}, issn = {0263\texttt{\symbol{45}}6115}, mrclass = {20D15 (20J05)}, mrnumber = {1717413 (2000h:20033)}, mrreviewer = {Ph{\d a}m Anh Minh}, printedkey = {EO99} } @incollection{ EOB98, author = {Eick, B. and O'Brien, E. A.}, editor = {Matzat, B. H. and Greuel, G.\texttt{\symbol{45}}M. and Hiss, G.}, booktitle = {Algorithmic algebra and number theory (Heidelberg, 1997)}, title = {The groups of order {$512$}}, publisher = {Springer}, address = {Berlin}, year = {1999}, pages = {379{\textendash}380}, note = {Proceedings of Abschlusstagung des DFG Schwerpunktes Algorithmische Algebra und Zahlentheorie in Heidelberg}, mrclass = {20D15}, mrnumber = {1672078 (99m:20034)}, printedkey = {EO99} } @article{ NOV04, author = {Newman, M. F. and O'Brien, E. A. and Vaughan\texttt{\symbol{45}}Lee, M. R.}, title = {Groups and nilpotent {L}ie rings whose order is the sixth power of a prime}, journal = {J. Algebra}, volume = {278}, number = {1}, year = {2004}, pages = {383{\textendash}401}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20D15 (17B30)}, mrnumber = {2068084 (2005c:20034)}, mrreviewer = {Jeffrey M. Riedl}, printedkey = {NOV04} } @article{ OV05, author = {O'Brien, E. A. and Vaughan\texttt{\symbol{45}}Lee, M. R.}, title = {The groups with order $p^7$ for odd prime $p$}, journal = {J. Algebra}, volume = {292}, number = {1}, year = {2005}, pages = {243{\textendash}258}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20D15 (17B30)}, mrnumber = {2166803 (2006d:20038)}, printedkey = {OV05} } @mastersthesis{ Gir03, author = {Girnat, B.}, title = {{K}lassifikation der {G}ruppen bis zur {O}rdnung {$p^5$}}, school = {TU Braunschweig}, address = {Braunschweig, Germany}, year = {2003}, printedkey = {Gir03}, type = {Staatsexamensarbeit} } @article{ DEi05, author = {Dietrich, H. and Eick, B.}, title = {On the groups of cube\texttt{\symbol{45}}free order}, journal = {J. Algebra}, volume = {292}, number = {1}, year = {2005}, pages = {122{\textendash}137}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20\texttt{\symbol{45}}04 (20D06 20D10)}, mrnumber = {2166799 (2006g:20001)}, mrreviewer = {Eamonn A. O'Brien}, printedkey = {DE05} } @mastersthesis{ Bis89, author = {Bischops, T.}, title = {Collectoren im {P}rogrammsystem {GAP}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1989}, printedkey = {Bis89}, type = {Diplomarbeit} } @techreport{ BC92, author = {Bosma, W. and Cannon, J. J.}, title = {Handbook of {C}ayley Functions}, institution = {Department of Pure Mathematics, University of Sydney}, address = {Sydney, Australia}, year = {1992}, pages = {282 pp.}, keywords = {system design; Cayley;; manual}, printedkey = {BC92} } @book{ Bou68, author = {Bourbaki, N.}, title = {{\a'E}l{\a'e}ments de math{\a'e}matique. {F}asc. {XXXIV}. {G}roupes et alg{\a`e}bres de {L}ie. {C}hapitre {IV}: {G}roupes de {C}oxeter et syst{\a`e}mes de {T}its. {C}hapitre {V}: {G}roupes engendr{\a'e}s par des r{\a'e}flexions. {C}hapitre {VI}: syst{\a`e}mes de racines}, publisher = {Hermann}, series = {Actualit{\a'e}s Scientifiques et Industrielles, No. 1337}, address = {Paris}, year = {1968}, pages = {288 pp. (loose errata)}, mrclass = {22.50 (17.00)}, mrnumber = {0240238 (39 \#1590)}, mrreviewer = {G. B. Seligman}, printedkey = {Bou68} } @article{ BC89, author = {Brent, R. P. and Cohen, G. L.}, title = {A new lower bound for odd perfect numbers}, journal = {Math. Comp.}, volume = {53}, number = {187}, year = {1989}, pages = {431{\textendash}437, S7{\textendash}S24}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {11A25 (11Y05 11Y70)}, mrnumber = {968150 (89m:11008)}, mrreviewer = {Samuel S. Wagstaff, Jr.}, printedkey = {BC89} } @mastersthesis{ Bre91, author = {Breuer, T.}, title = {Potenzabbildungen, {U}ntergruppenfusionen, {T}afel\texttt{\symbol{45}}{A}utomorphismen}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1991}, printedkey = {Bre91}, type = {Diplomarbeit} } @article{ BL96, author = {Breuer, T. and Lux, K.}, title = {The multiplicity\texttt{\symbol{45}}free permutation characters of the sporadic simple groups and their automorphism groups}, journal = {Comm. Algebra}, volume = {24}, number = {7}, year = {1996}, pages = {2293{\textendash}2316}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20C34 (20D08)}, mrnumber = {1390375 (97c:20020)}, mrreviewer = {Peter Fleischmann}, printedkey = {BL96} } @article{ Bre97, author = {Breuer, T.}, title = {Integral bases for subfields of cyclotomic fields}, journal = {Appl. Algebra Engrg. Comm. Comput.}, volume = {8}, number = {4}, year = {1997}, pages = {279{\textendash}289}, coden = {AAECEW}, fjournal = {Applicable Algebra in Engineering, Communication and Computing}, issn = {0938\texttt{\symbol{45}}1279}, mrclass = {11R18}, mrnumber = {1464789 (99a:11120)}, mrreviewer = {Wieb Bosma}, printedkey = {Bre97} } @article{ BP98, author = {Breuer, T. and Pfeiffer, G.}, title = {Finding possible permutation characters}, journal = {J. Symbolic Comput.}, volume = {26}, number = {3}, year = {1998}, pages = {343{\textendash}354}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20B99 (20B40 20C15 20C40)}, mrnumber = {1633876 (99e:20005)}, mrreviewer = {Cheryl E. Praeger}, printedkey = {BP98} } @inproceedings{ BreuerLinton98, author = {Breuer, T. and Linton, S.}, booktitle = {ISSAC '98: Proceedings of the 1998 international symposium on Symbolic and algebraic computation}, title = {The {GAP{\nobreakspace}4} Type System. Organizing Algebraic Algorithms}, publisher = {ACM Press}, address = {New York, NY, USA}, year = {1998}, pages = {38{\textendash}45}, crossref = {ISSAC98}, note = {Chairman: Volker Weispfenning and Barry Trager}, isbn = {1\texttt{\symbol{45}}58113\texttt{\symbol{45}}002\texttt{\symbol{45}}3}, location = {Rostock, Germany}, source = {ACM Order No.: 505980, ACM member price \$25}, printedkey = {BL98} } @article{ Bre99, author = {Breuer, T.}, title = {Computing possible class fusions from character tables}, journal = {Comm. Algebra}, volume = {27}, number = {6}, year = {1999}, pages = {2733{\textendash}2748}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20C15}, mrnumber = {1687309 (2000c:20015)}, mrreviewer = {J{\"u}rgen Ritter}, printedkey = {Bre99} } @inbook{ BN95, author = {Breuer, T. and Norton, S. P.}, title = {Improvements to the {A}tlas}, publisher = {The Clarendon Press Oxford University Press}, series = {London Mathematical Society Monographs. New Series}, volume = {11}, address = {New York}, year = {1995}, pages = {297{\textendash}327}, crossref = {JLPW95}, note = {Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications}, isbn = {0\texttt{\symbol{45}}19\texttt{\symbol{45}}851481\texttt{\symbol{45}}6}, mrclass = {20C20 (20\texttt{\symbol{45}}00 20D06 20D08)}, mrnumber = {1367961 (96k:20016)}, mrreviewer = {J. L. Alperin}, printedkey = {BN95} } @article{ Bri71, author = {Brieskorn, E.}, title = {Die {F}undamentalgruppe des {R}aumes der regul{\"a}ren {O}rbits einer endlichen komplexen {S}piegelungsgruppe}, journal = {Invent. Math.}, volume = {12}, year = {1971}, pages = {57{\textendash}61}, fjournal = {Inventiones Mathematicae}, issn = {0020\texttt{\symbol{45}}9910}, mrclass = {55A05}, mrnumber = {0293615 (45 \#2692)}, mrreviewer = {L. Neuwirth}, printedkey = {Bri71} } @article{ BS72, author = {Brieskorn, E. and Saito, K.}, title = {Artin\texttt{\symbol{45}}{G}ruppen und {C}oxeter\texttt{\symbol{45}}{G}ruppen}, journal = {Invent. Math.}, volume = {17}, year = {1972}, pages = {245{\textendash}271}, fjournal = {Inventiones Mathematicae}, issn = {0020\texttt{\symbol{45}}9910}, mrclass = {20F05}, mrnumber = {0323910 (48 \#2263)}, mrreviewer = {D. E. Cohen}, printedkey = {BS72} } @article{ BM93, author = {Brou{\a'e}, M. and Malle, G.}, title = {Zyklotomische {H}eckealgebren}, journal = {Ast{\a'e}risque}, publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France}, number = {212}, address = {Paris}, year = {1993}, pages = {119{\textendash}189}, crossref = {Asterisque212}, note = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques et blocs des groupes r{\a'e}ductifs finis}, fjournal = {Ast{\a'e}risque}, issn = {0303\texttt{\symbol{45}}1179}, mrclass = {20G40 (20C20 20H15)}, mrnumber = {1235834 (94m:20095)}, mrreviewer = {Fran{\c c}ois Digne}, printedkey = {BM93} } @article{ BMM93, author = {Brou{\a'e}, M. and Malle, G. and Michel, J.}, title = {Generic blocks of finite reductive groups}, journal = {Ast{\a'e}risque}, publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France}, number = {212}, address = {Paris}, year = {1993}, pages = {7{\textendash}92}, crossref = {Asterisque212}, note = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques et blocs des groupes r{\a'e}ductifs finis}, fjournal = {Ast{\a'e}risque}, issn = {0303\texttt{\symbol{45}}1179}, mrclass = {20G05 (20C20)}, mrnumber = {1235832 (95d:20072)}, mrreviewer = {Bhama Srinivasan}, printedkey = {BMM93} } @book{ Asterisque212, author = {Brou{\a'e}, M. and Malle, G. and Michel, J.}, title = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques et blocs des groupes r{\a'e}ductifs finis}, publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France}, address = {Paris}, year = {1993}, pages = {1{\textendash}203}, note = {Ast{\a'e}risque No. 212 (1993)}, issn = {0303\texttt{\symbol{45}}1179}, mrclass = {20G05}, mrnumber = {1235830 (94c:20078)}, printedkey = {BMM93} } @book{ Baker84, author = {Baker, A.}, title = {A concise introduction to the theory of numbers}, publisher = {Cambridge University Press}, address = {Cambridge}, year = {1984}, pages = {xiii+95}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}24383\texttt{\symbol{45}}1; 0\texttt{\symbol{45}}521\texttt{\symbol{45}}28654\texttt{\symbol{45}}9}, mrclass = {11\texttt{\symbol{45}}01}, mrnumber = {781734 (86f:11001)}, mrreviewer = {Don Redmond}, printedkey = {Bak84} } @book{ BCN89, author = {Brouwer, A. E. and Cohen, A. M. and Neumaier, A.}, title = {Distance\texttt{\symbol{45}}regular graphs}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]}, volume = {18}, address = {Berlin}, year = {1989}, pages = {xviii+495}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}50619\texttt{\symbol{45}}5}, mrclass = {05\texttt{\symbol{45}}02 (05C75)}, mrnumber = {1002568 (90e:05001)}, mrreviewer = {Joe Hemmeter}, printedkey = {BCN89} } @book{ BBNWZ78, author = {Brown, H. and B{\"u}low, R. and Neub{\"u}ser, J. and Wondratschek, H. and Zassenhaus, H.}, title = {Crystallographic groups of four\texttt{\symbol{45}}dimensional space}, publisher = {Wiley\texttt{\symbol{45}}Interscience [John Wiley \& Sons]}, address = {New York}, year = {1978}, pages = {xiv+443}, note = {Wiley Monographs in Crystallography}, isbn = {0\texttt{\symbol{45}}471\texttt{\symbol{45}}03095\texttt{\symbol{45}}3}, mrclass = {82.20 (20F05)}, mrnumber = {0484179 (58 \#4109)}, mrreviewer = {Daniel B. Litvin}, printedkey = {BBNWZ78} } @article{ BCMa, author = {Baumslag, G. and Cannonito, F. B. and Miller III, C. F.}, title = {Some recognizable properties of solvable groups}, journal = {Math. Z.}, volume = {178}, number = {3}, year = {1981}, pages = {289{\textendash}295}, coden = {MAZEAX}, fjournal = {Mathematische Zeitschrift}, issn = {0025\texttt{\symbol{45}}5874}, mrclass = {20F16 (03D40 20F10)}, mrnumber = {635200 (82k:20061)}, mrreviewer = {V. A. Roman{\ensuremath{'}}kov}, printedkey = {BCI81} } @article{ BCMb, author = {Baumslag, G. and Cannonito, F. B. and Miller III, C. F.}, title = {Computable algebra and group embeddings}, journal = {J. Algebra}, volume = {69}, number = {1}, year = {1981}, pages = {186{\textendash}212}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20F10 (03D40 03D45 16A53)}, mrnumber = {613868 (82e:20042)}, mrreviewer = {D. E. Cohen}, printedkey = {BCI81} } @book{ Bourbaki70, author = {Bourbaki, N.}, title = {{\a'E}l{\a'e}ments de math{\a'e}matique. {A}lg{\a`e}bre. {C}hapitres 1 {\a`a} 3}, publisher = {Hermann}, address = {Paris}, year = {1970}, pages = {xiii+635 pp. (not consecutively paged)}, mrclass = {00.00 (13.00)}, mrnumber = {0274237 (43 \#2)}, mrreviewer = {P. Samuel}, printedkey = {Bou70} } @article{ BJR87, author = {Brown, R. and Johnson, D. L. and Robertson, E. F.}, title = {Some computations of nonabelian tensor products of groups}, journal = {J. Algebra}, volume = {111}, number = {1}, year = {1987}, pages = {177{\textendash}202}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20F05 (20E22)}, mrnumber = {913203 (88m:20071)}, mrreviewer = {Stephen J. Pride}, printedkey = {BJR87} } @article{ BuekenhoutLeemans96, author = {Buekenhout, F. and Leemans, D.}, title = {On the list of finite primitive permutation groups of degree {$\leq 50$}}, journal = {J. Symbolic Comput.}, volume = {22}, number = {2}, year = {1996}, pages = {215{\textendash}225}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20B15}, mrnumber = {1422147 (97g:20004)}, printedkey = {BL96} } @article{ BM83, author = {Butler, G. and McKay, J.}, title = {The transitive groups of degree up to eleven}, journal = {Comm. Algebra}, volume = {11}, number = {8}, year = {1983}, pages = {863{\textendash}911}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20B05}, mrnumber = {695893 (84f:20005)}, mrreviewer = {Michael Klemm}, printedkey = {BM83} } @article{ Butler93, author = {Butler, G.}, title = {The transitive groups of degree fourteen and fifteen}, journal = {J. Symbolic Comput.}, volume = {16}, number = {5}, year = {1993}, pages = {413{\textendash}422}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20B35 (20B40 68Q40)}, mrnumber = {1271082 (95e:20006)}, mrreviewer = {Gerhard Hiss}, printedkey = {But93} } @phdthesis{ Bra89, author = {Bradford, R. J.}, title = {On the computation of integral bases and defects of integrity}, school = {School of Mathematical Sciences, University of Bath}, address = {Bath}, year = {1989}, printedkey = {Bra89} } @article{ BTW93, author = {Beauzamy, B. and Trevisan, V. and Wang, P. S.}, title = {Polynomial factorization: sharp bounds, efficient algorithms}, journal = {J. Symbolic Comput.}, volume = {15}, number = {4}, year = {1993}, pages = {393{\textendash}413}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {68Q40}, mrnumber = {1227929 (94m:68091)}, printedkey = {BTW93} } @book{ Bur55, author = {Burnside, W.}, title = {Theory of groups of finite order}, publisher = {Dover Publications Inc.}, address = {New York}, year = {1955}, pages = {xxiv+512}, note = {Unabridged republication of the second edition, published in 1911}, mrclass = {20.0X}, mrnumber = {0069818 (16,1086c)}, printedkey = {Bur55} } @article{ But82, author = {Butler, G.}, title = {Computing in permutation and matrix groups. {II}. {B}acktrack algorithm}, journal = {Math. Comp.}, volume = {39}, number = {160}, year = {1982}, pages = {671{\textendash}680}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20\texttt{\symbol{45}}04 (20E25 20G40)}, mrnumber = {669659 (83k:20004b)}, mrreviewer = {J. D. Dixon}, keywords = {permutation groups, matrix groups;; backtrack through stabilizer chain}, printedkey = {But82} } @article{ BuCa89, author = {Butler, G. and Cannon, J.}, title = {Computing in permutation and matrix groups. {III}. {S}ylow subgroups}, journal = {J. Symbolic Comput.}, volume = {8}, number = {3}, year = {1989}, pages = {241{\textendash}252}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20\texttt{\symbol{45}}04 (20D20)}, mrnumber = {1015649 (90i:20003)}, mrreviewer = {J. D. Dixon}, printedkey = {BC89} } @article{ But85a, author = {Butler, G.}, title = {Effective computation with group homomorphisms}, journal = {J. Symbolic Comput.}, volume = {1}, number = {2}, year = {1985}, pages = {143{\textendash}157}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {68Q40 (20\texttt{\symbol{45}}04 20B99)}, mrnumber = {818875 (87b:68057)}, keywords = {permutation groups; homomorphisms}, printedkey = {But85} } @mastersthesis{ Cam71, author = {Campbell, H. A.}, title = {An extension of coset enumeration}, school = {McGill University}, address = {Montreal, Canada}, year = {1971}, keywords = {finitely presented groups; subgroup presentation; modified Todd Coxeter (mtc); program description}, printedkey = {Cam71}, type = {M. Sc. thesis} } @article{ Can73, author = {Cannon, J. J.}, title = {Construction of defining relators for finite groups}, journal = {Discrete Math.}, volume = {5}, year = {1973}, pages = {105{\textendash}129}, fjournal = {Discrete Mathematics}, issn = {0012\texttt{\symbol{45}}365X}, mrclass = {20F05}, mrnumber = {0318322 (47 \#6869)}, mrreviewer = {H. S. M. Coxeter}, printedkey = {Can73} } @article{ Car72, author = {Carter, R. W.}, title = {Conjugacy classes in the {W}eyl group}, journal = {Compositio Math.}, volume = {25}, year = {1972}, pages = {1{\textendash}59}, fjournal = {Compositio Mathematica}, issn = {0010\texttt{\symbol{45}}437X}, mrclass = {20H15 (17B20)}, mrnumber = {0318337 (47 \#6884)}, mrreviewer = {Juri A. Bahturin}, printedkey = {Car72} } @book{ Car85, author = {Carter, R. W.}, title = {Finite groups of {L}ie type}, publisher = {John Wiley \& Sons Inc.}, series = {Pure and Applied Mathematics (New York)}, address = {New York}, year = {1985}, pages = {xii+544}, note = {Conjugacy classes and complex characters, A Wiley\texttt{\symbol{45}}Interscience Publication}, isbn = {0\texttt{\symbol{45}}471\texttt{\symbol{45}}90554\texttt{\symbol{45}}2}, mrclass = {20G40 (20\texttt{\symbol{45}}02 20C15)}, mrnumber = {794307 (87d:20060)}, mrreviewer = {David B. Surowski}, printedkey = {Car85} } @book{ Car8593, author = {Carter, R. W.}, title = {Finite groups of {L}ie type}, publisher = {John Wiley \& Sons Ltd.}, series = {Wiley Classics Library}, address = {Chichester}, year = {1993}, pages = {xii+544}, note = {Conjugacy classes and complex characters, Reprint of the 1985 original, A Wiley\texttt{\symbol{45}}Interscience Publication}, isbn = {0\texttt{\symbol{45}}471\texttt{\symbol{45}}94109\texttt{\symbol{45}}3}, mrclass = {20C33 (20\texttt{\symbol{45}}02 20G40)}, mrnumber = {1266626 (94k:20020)}, printedkey = {Car93} } @article{ Car86, author = {Carter, R. W.}, title = {Representation theory of the {$0$}\texttt{\symbol{45}}{H}ecke algebra}, journal = {J. Algebra}, volume = {104}, number = {1}, year = {1986}, pages = {89{\textendash}103}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C15 (16A65 20G05)}, mrnumber = {865891 (88a:20014)}, mrreviewer = {David Benson}, printedkey = {Car86} } @book{ Car72a, author = {Carter, R. W.}, title = {Simple groups of {L}ie type}, publisher = {John Wiley \& Sons, London\texttt{\symbol{45}}New York\texttt{\symbol{45}}Sydney}, year = {1972}, pages = {viii+331}, note = {Pure and Applied Mathematics, Vol. 28}, mrclass = {20G15 (20D05 22E20)}, mrnumber = {0407163 (53 \#10946)}, mrreviewer = {Louis Solomon}, printedkey = {Car72} } @book{ Car72a89, author = {Carter, R. W.}, title = {Simple groups of {L}ie type}, publisher = {John Wiley \& Sons Inc.}, series = {Wiley Classics Library}, address = {New York}, year = {1989}, pages = {x+335}, note = {Reprint of the 1972 original, A Wiley\texttt{\symbol{45}}Interscience Publication}, isbn = {0\texttt{\symbol{45}}471\texttt{\symbol{45}}50683\texttt{\symbol{45}}4}, mrclass = {20\texttt{\symbol{45}}02 (20D05 20E32 20G15 20G40 22\texttt{\symbol{45}}02)}, mrnumber = {1013112 (90g:20001)}, printedkey = {Car89} } @mastersthesis{ Cel92, author = {Celler, F.}, title = {Kohomologie und {N}ormalisatoren in {GAP}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1992}, printedkey = {Cel92}, type = {Diplomarbeit} } @article{ CNW90, author = {Celler, F. and Neub{\"u}ser, J. and Wright, C. R. B.}, title = {Some remarks on the computation of complements and normalizers in soluble groups}, journal = {Acta Appl. Math.}, volume = {21}, number = {1\texttt{\symbol{45}}2}, year = {1990}, pages = {57{\textendash}76}, coden = {AAMADV}, fjournal = {Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications}, issn = {0167\texttt{\symbol{45}}8019}, mrclass = {20D10 (20\texttt{\symbol{45}}04)}, mrnumber = {1085773 (91m:20026)}, mrreviewer = {Michael C. Slattery}, printedkey = {CNW90} } @article{ Cha92, author = {Charney, R.}, title = {Artin groups of finite type are biautomatic}, journal = {Math. Ann.}, volume = {292}, number = {4}, year = {1992}, pages = {671{\textendash}683}, coden = {MAANA}, fjournal = {Mathematische Annalen}, issn = {0025\texttt{\symbol{45}}5831}, mrclass = {20F36 (20F10)}, mrnumber = {1157320 (93c:20067)}, mrreviewer = {D. F. Holt}, printedkey = {Cha92} } @article{ Cla97, author = {Clausen, M.}, title = {A direct proof of {M}inkwitz's extension theorem}, journal = {Appl. Algebra Engrg. Comm. Comput.}, volume = {8}, number = {4}, year = {1997}, pages = {305{\textendash}306}, coden = {AAECEW}, fjournal = {Applicable Algebra in Engineering, Communication and Computing}, issn = {0938\texttt{\symbol{45}}1279}, mrclass = {20C15}, mrnumber = {1464791}, printedkey = {Cla97} } @book{ Coh93, author = {Cohen, H.}, title = {A course in computational algebraic number theory}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Graduate Texts in Mathematics}, volume = {138}, address = {Berlin}, year = {1993}, pages = {xii+534}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}55640\texttt{\symbol{45}}0}, mrclass = {11Y40 (11Rxx 68Q40)}, mrnumber = {1228206 (94i:11105)}, mrreviewer = {Joe P. Buhler}, printedkey = {Coh93} } @article{ Con90a, author = {Conlon, S. B.}, title = {Calculating characters of {$p$}\texttt{\symbol{45}}groups}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {535{\textendash}550}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20C40 (20C15 20D15)}, mrnumber = {1075421 (91j:20033)}, mrreviewer = {Michael C. Slattery}, printedkey = {Con90} } @article{ Con90b, author = {Conlon, S. B.}, title = {Computing modular and projective character degrees of soluble groups}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {551{\textendash}570}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20C40 (20C15 20C20)}, mrnumber = {1075422 (91j:20034)}, mrreviewer = {Michael C. Slattery}, printedkey = {Con90} } @book{ CCN85, author = {Conway, J. H. and Curtis, R. T. and Norton, S. P. and Parker, R. A. and Wilson, R. A.}, title = {Atlas of finite groups}, publisher = {Oxford University Press}, address = {Eynsham}, year = {1985}, pages = {xxxiv+252}, note = {Maximal subgroups and ordinary characters for simple groups, With computational assistance from J. G. Thackray}, isbn = {0\texttt{\symbol{45}}19\texttt{\symbol{45}}853199\texttt{\symbol{45}}0}, mrclass = {20D05 (20\texttt{\symbol{45}}02)}, mrnumber = {827219 (88g:20025)}, mrreviewer = {R. L. Griess}, printedkey = {CCNPW85} } @article{ ConwayHulpkeMcKay98, author = {Conway, J. H. and Hulpke, A. and McKay, J.}, title = {On transitive permutation groups}, journal = {LMS J. Comput. Math.}, volume = {1}, year = {1998}, pages = {1{\textendash}8 (electronic)}, fjournal = {LMS Journal of Computation and Mathematics}, issn = {1461\texttt{\symbol{45}}1570}, mrclass = {20B05 (20B40)}, mrnumber = {1635715 (99g:20011)}, mrreviewer = {D. F. Holt}, printedkey = {CHM98} } @article{ CF94, author = {Cooperman, G. and Finkelstein, L.}, title = {A random base change algorithm for permutation groups}, journal = {J. Symbolic Comput.}, volume = {17}, number = {6}, year = {1994}, pages = {513{\textendash}528}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {68Q40 (20B07)}, mrnumber = {1300351 (96a:68048)}, printedkey = {CF94} } @book{ CLR90, author = {Cormen, T. H. and Leiserson, C. E. and Rivest, R. L.}, title = {Introduction to algorithms}, publisher = {MIT Press}, series = {The MIT Electrical Engineering and Computer Science Series}, address = {Cambridge, MA}, year = {1990}, pages = {xx+1028}, isbn = {0\texttt{\symbol{45}}262\texttt{\symbol{45}}03141\texttt{\symbol{45}}8}, mrclass = {68\texttt{\symbol{45}}01 (05\texttt{\symbol{45}}01 05C85 68Q25)}, mrnumber = {1066870 (91i:68001)}, mrreviewer = {Selim G. Akl}, printedkey = {CLR90} } @article{ CRDQ11, author = {Quick, M.}, title = {The primitive permutation groups of degree less than 4096}, journal = {Comm. Algebra}, volume = {39}, number = {10}, year = {2011}, pages = {3526{\textendash}3546}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20B15}, mrnumber = {2845584}, mrreviewer = {Thomas Michael Keller}, printedkey = {Qui11} } @book{ coxlittleoshea, author = {Cox, D. and Little, J. and O'Shea, D.}, title = {Ideals, varieties, and algorithms}, publisher = {Springer\texttt{\symbol{45}}Verlag}, edition = {Second}, series = {Undergraduate Texts in Mathematics}, address = {New York}, year = {1997}, pages = {xiv+536}, note = {An introduction to computational algebraic geometry and commutative algebra}, isbn = {0\texttt{\symbol{45}}387\texttt{\symbol{45}}94680\texttt{\symbol{45}}2}, mrclass = {13P10 (13\texttt{\symbol{45}}01 14\texttt{\symbol{45}}01 14Qxx 68Q40)}, mrnumber = {1417938 (97h:13024)}, printedkey = {CLO97} } @book{ CR81, author = {Curtis, C. W. and Reiner, I.}, title = {Methods of representation theory. {V}ol. {I}}, publisher = {John Wiley \& Sons Inc.}, address = {New York}, year = {1981}, pages = {xxi+819}, note = {With applications to finite groups and orders, Pure and Applied Mathematics, A Wiley\texttt{\symbol{45}}Interscience Publication}, isbn = {0\texttt{\symbol{45}}471\texttt{\symbol{45}}18994\texttt{\symbol{45}}4}, mrclass = {20\texttt{\symbol{45}}02 (10C30 12A57 20Cxx)}, mrnumber = {632548 (82i:20001)}, mrreviewer = {J. L. Alperin}, printedkey = {CR81} } @book{ CR87, author = {Curtis, C. W. and Reiner, I.}, title = {Methods of representation theory. {V}ol. {II}}, publisher = {John Wiley \& Sons Inc.}, series = {Pure and Applied Mathematics (New York)}, address = {New York}, year = {1987}, pages = {xviii+951}, note = {With applications to finite groups and orders, A Wiley\texttt{\symbol{45}}Interscience Publication}, isbn = {0\texttt{\symbol{45}}471\texttt{\symbol{45}}88871\texttt{\symbol{45}}0}, mrclass = {20\texttt{\symbol{45}}02 (11Exx 18F25 19A31 19B28 19C99 20Cxx)}, mrnumber = {892316 (88f:20002)}, mrreviewer = {J. L. Alperin}, printedkey = {CR87} } @article{ Del72, author = {Deligne, P.}, title = {Les immeubles des groupes de tresses g{\a'e}n{\a'e}ralis{\a'e}s}, journal = {Invent. Math.}, volume = {17}, year = {1972}, pages = {273{\textendash}302}, fjournal = {Inventiones Mathematicae}, issn = {0020\texttt{\symbol{45}}9910}, mrclass = {32C40 (55A25)}, mrnumber = {0422673 (54 \#10659)}, mrreviewer = {Alan H. Durfee}, printedkey = {Del72} } @article{ Deo89, author = {Deodhar, V. V.}, title = {A note on subgroups generated by reflections in {C}oxeter groups}, journal = {Arch. Math. (Basel)}, volume = {53}, number = {6}, year = {1989}, pages = {543{\textendash}546}, coden = {ACVMAL}, fjournal = {Archiv der Mathematik}, issn = {0003\texttt{\symbol{45}}889X}, mrclass = {20H15 (20F55)}, mrnumber = {1023969 (91c:20063)}, mrreviewer = {Fran{\c c}ois Digne}, printedkey = {Deo89} } @article{ DFO13, author = {Detinko, A. S. and Flannery, D. L. and O'Brien, E. A.}, title = {Recognizing finite matrix groups over infinite fields}, journal = {J. Symbolic Comput.}, volume = {50}, year = {2013}, pages = {100{\textendash}109}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, url = {https://doi.org/10.1016/j.jsc.2012.04.002}, doi = {10.1016/j.jsc.2012.04.002}, printedkey = {DFO13} } @article{ Dix67, author = {Dixon, J. D.}, title = {High speed computation of group characters}, journal = {Numer. Math.}, volume = {10}, year = {1967}, pages = {446{\textendash}450}, fjournal = {Numerische Mathematik}, issn = {0029\texttt{\symbol{45}}599X}, mrclass = {20.80 (65.00)}, mrnumber = {0224726 (37 \#325)}, mrreviewer = {D. H. Lehmer}, printedkey = {Dix67} } @article{ DixonMortimer88, author = {Dixon, J. D. and Mortimer, B.}, title = {The primitive permutation groups of degree less than {$1000$}}, journal = {Math. Proc. Cambridge Philos. Soc.}, volume = {103}, number = {2}, year = {1988}, pages = {213{\textendash}238}, coden = {MPCPCO}, fjournal = {Mathematical Proceedings of the Cambridge Philosophical Society}, issn = {0305\texttt{\symbol{45}}0041}, mrclass = {20B10 (20B15 20B20)}, mrnumber = {923674 (89b:20014)}, mrreviewer = {Wolfgang Knapp}, printedkey = {DM88} } @incollection{ Dix93, author = {Dixon, J. D.}, editor = {Finkelstein, L. and Kantor, W. M.}, booktitle = {Groups and computation (New Brunswick, NJ, 1991)}, title = {Constructing representations of finite groups}, publisher = {Amer. Math. Soc.}, series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, volume = {11}, address = {Providence, RI}, year = {1993}, pages = {105{\textendash}112}, crossref = {DIMACS}, isbn = {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}6599\texttt{\symbol{45}}4}, mrclass = {20C15 (20C30)}, mrnumber = {1235797 (94h:20011)}, mrreviewer = {Peter Fleischmann}, printedkey = {Dix93} } @article{ Dre69, author = {Dress, A.}, title = {A characterisation of solvable groups}, journal = {Math. Z.}, volume = {110}, year = {1969}, pages = {213{\textendash}217}, fjournal = {Mathematische Zeitschrift}, issn = {0025\texttt{\symbol{45}}5874}, mrclass = {20.80}, mrnumber = {0248239 (40 \#1491)}, mrreviewer = {R. Schmidt}, printedkey = {Dre69} } @manual{ DuC91, author = {DuCloux, F.}, title = {Coxeter Version 1.0}, organization = {Universit{\a'e} de Lyon}, address = {Lyon, France}, year = {1991}, printedkey = {DuC91} } @article{ Dye90, author = {Dyer, M.}, title = {Reflection subgroups of {C}oxeter systems}, journal = {J. Algebra}, volume = {135}, number = {1}, year = {1990}, pages = {57{\textendash}73}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20F55 (17B20 20H15)}, mrnumber = {1076077 (91j:20100)}, mrreviewer = {Robert B{\a'e}dard}, printedkey = {Dye90} } @article{ EHR91, author = {Epstein, D. B. A. and Holt, D. F. and Rees, S. E.}, title = {The use of {K}nuth\texttt{\symbol{45}}{B}endix methods to solve the word problem in automatic groups}, journal = {J. Symbolic Comput.}, volume = {12}, number = {4\texttt{\symbol{45}}5}, year = {1991}, pages = {397{\textendash}414}, note = {Computational group theory, Part 2}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {68Q40 (03D40 20F10)}, mrnumber = {1146506 (92m:68052)}, mrreviewer = {Klaus Madlener}, printedkey = {EHR91} } @incollection{ Eick97, author = {Eick, B.}, editor = {Finkelstein, L. and Kantor, W. M.}, booktitle = {Groups and computation, II (New Brunswick, NJ, 1995)}, title = {Special presentations for finite soluble groups and computing (pre\texttt{\symbol{45}}){F}rattini subgroups}, publisher = {Amer. Math. Soc.}, series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, volume = {28}, address = {Providence, RI}, year = {1997}, pages = {101{\textendash}112}, crossref = {DIMACS2}, isbn = {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}0516\texttt{\symbol{45}}9}, mrclass = {20D10 (20\texttt{\symbol{45}}04)}, mrnumber = {1444133 (99a:20014)}, printedkey = {Eic97} } @article{ EGN97, author = {Eick, B. and G{\"a}hler, F. and Nickel, W.}, title = {Computing maximal subgroups and {W}yckoff positions of space groups}, journal = {Acta Cryst. Sect. A}, volume = {53}, number = {4}, year = {1997}, pages = {467{\textendash}474}, coden = {ACACEQ}, fjournal = {Acta Crystallographica. Section A: Foundations of Crystallography}, issn = {0108\texttt{\symbol{45}}7673}, mrclass = {20H15 (82D25)}, mrnumber = {1461658 (98g:20080)}, mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}}, printedkey = {EGN97} } @article{ EickHoefling02, author = {Eick, B. and H{\"o}fling, B.}, title = {The solvable primitive permutation groups of degree at most 6560}, journal = {LMS J. Comput. Math.}, volume = {6}, year = {2003}, pages = {29{\textendash}39 (electronic)}, fjournal = {LMS Journal of Computation and Mathematics}, issn = {1461\texttt{\symbol{45}}1570}, mrclass = {20B15}, mrnumber = {1971491 (2004a:20005)}, mrreviewer = {Xianhua Li}, printedkey = {EH03} } @inproceedings{ EickHulpke01, author = {Eick, B. and Hulpke, A.}, title = {Computing the maximal subgroups of a permutation group {I}}, pages = {155{\textendash}168}, crossref = {DIMACS3}, printedkey = {EH} } @article{ Ellis98, author = {Ellis, G.}, title = {On the capability of groups}, journal = {Proc. Edinburgh Math. Soc. (2)}, volume = {41}, number = {3}, year = {1998}, pages = {487{\textendash}495}, coden = {PRMSA3}, fjournal = {Proceedings of the Edinburgh Mathematical Society. Series II}, issn = {0013\texttt{\symbol{45}}0915}, mrclass = {20E22 (20F28 20J05)}, mrnumber = {1697585 (2000e:20053)}, mrreviewer = {J. Wiegold}, printedkey = {Ell98} } @book{ ECHLPT92, author = {Epstein, D. B. A. and Cannon, J. W. and Holt, D. F. and Levy, S. V. F. and Paterson, M. S. and Thurston, W. P.}, title = {Word processing in groups}, publisher = {Jones and Bartlett Publishers}, address = {Boston, MA}, year = {1992}, pages = {xii+330}, isbn = {0\texttt{\symbol{45}}86720\texttt{\symbol{45}}244\texttt{\symbol{45}}0}, mrclass = {20F10 (03D40 20\texttt{\symbol{45}}02 68Q70)}, mrnumber = {1161694 (93i:20036)}, mrreviewer = {Richard M. Thomas}, printedkey = {ECHLPT92} } @incollection{ FJNT95, author = {Felsch, V. and Johnson, D. L. and Neub{\"u}ser, J. and Tsaranov, S. V.}, booktitle = {Groups '93 Galway/St Andrews, Vol. 1 (Galway, 1993)}, title = {The structure of certain {C}oxeter groups}, publisher = {Cambridge Univ. Press}, series = {London Math. Soc. Lecture Note Ser.}, volume = {211}, address = {Cambridge}, year = {1995}, pages = {177{\textendash}190}, mrclass = {20F05 (20F55)}, mrnumber = {1342790 (96d:20028)}, mrreviewer = {Daan Krammer}, printedkey = {FJNT95} } @incollection{ FS84, author = {Felsch, V. and Sandl{\"o}bes, G.}, editor = {Atkinson, M. D.}, booktitle = {Computational group theory (Durham, 1982)}, title = {An interactive program for computing subgroups}, publisher = {Academic Press}, address = {London}, year = {1984}, pages = {137{\textendash}143}, crossref = {Durham1982}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20\texttt{\symbol{45}}04 (20D10 68Q99)}, mrnumber = {760655 (85k:20003)}, keywords = {groups; subgroup lattice, table of marks; cyclic extensions; program description}, printedkey = {FS84} } @incollection{ FelschNeubueser79, author = {Felsch, V. and Neub{\"u}ser, J.}, editor = {Ng, E. W.}, booktitle = {Symbolic and algebraic computation (EUROSAM '79, Internat. Sympos., Marseille, 1979)}, title = {An algorithm for the computation of conjugacy classes and centralizers in {$p$}\texttt{\symbol{45}}groups}, publisher = {Springer}, series = {Lecture Notes in Comput. Sci.}, volume = {72}, address = {Berlin}, year = {1979}, pages = {452{\textendash}465}, crossref = {EUROSAM79}, note = {EUROSAM '79, an International Symposium held in Marseille, June 1979}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}09519\texttt{\symbol{45}}5}, mrclass = {20\texttt{\symbol{45}}04}, mrnumber = {575705 (82d:20003)}, mrreviewer = {Colin M. Campbell}, printedkey = {FN79} } @article{ Fon62, author = {Fong, P.}, title = {Solvable groups and modular representation theory}, journal = {Trans. Amer. Math. Soc.}, volume = {103}, year = {1962}, pages = {484{\textendash}494}, fjournal = {Transactions of the American Mathematical Society}, issn = {0002\texttt{\symbol{45}}9947}, mrclass = {20.80}, mrnumber = {0139667 (25 \#3098)}, mrreviewer = {D. E. Littlewood}, printedkey = {Fon62} } @article{ Fra82, author = {Frame, J. S.}, title = {Recursive computation of tensor power components}, journal = {Bayreuth. Math. Schr.}, volume = {10}, year = {1982}, pages = {153{\textendash}159}, fjournal = {Bayreuther Mathematische Schriften}, issn = {0172\texttt{\symbol{45}}1062}, mrclass = {20\texttt{\symbol{45}}04 (20C15)}, mrnumber = {667230 (84a:20001)}, mrreviewer = {J. McKay}, printedkey = {Fra82} } @manual{ GAP449, title = {{GAP{\textendash}Groups, Algorithms, and Programming, Version 4.4.9}}, organization = {The GAP{\nobreakspace}Group}, year = {2006}, key = {GAP}, url = {\href {https://www.gap-system.org} {\texttt{https://www.gap\texttt{\symbol{45}}system.org}}}, keywords = {groups; *; gap; manual} } @manual{ GAP4, title = {{GAP{\textendash}Groups, Algorithms, and Programming, Version 4.4}}, organization = {The GAP{\nobreakspace}Group}, year = {2004}, note = {\href {https://www.gap-system.org} {\texttt{https://www.gap\texttt{\symbol{45}}system.org}}}, key = {GAP}, keywords = {groups; *; gap; manual} } @article{ Gar69, author = {Garside, F. A.}, title = {The braid group and other groups}, journal = {Quart. J. Math. Oxford Ser. (2)}, volume = {20}, year = {1969}, pages = {235{\textendash}254}, fjournal = {The Quarterly Journal of Mathematics. Oxford. Second Series}, mrclass = {55.20}, mrnumber = {0248801 (40 \#2051)}, mrreviewer = {L. Neuwirth}, printedkey = {Gar69} } @article{ Gec94, author = {Geck, M.}, title = {On the character values of {I}wahori\texttt{\symbol{45}}{H}ecke algebras of exceptional type}, journal = {Proc. London Math. Soc. (3)}, volume = {68}, number = {1}, year = {1994}, pages = {51{\textendash}76}, coden = {PLMTAL}, fjournal = {Proceedings of the London Mathematical Society. Third Series}, issn = {0024\texttt{\symbol{45}}6115}, mrclass = {20F55 (20C15)}, mrnumber = {1243835 (94i:20073)}, mrreviewer = {Fran{\c c}ois Digne}, printedkey = {Gec94} } @book{ Gec95, author = {Geck, M.}, title = {Beitr{\"a}ge zur {D}arstellungstheorie von {I}wahori\texttt{\symbol{45}}{H}ecke {A}lgebren}, publisher = {Verlag der Augustinus Buchhandlung, Aachen}, series = {Aachener Beitr{\"a}ge zur Mathematik}, volume = {11}, year = {1995}, printedkey = {Gec95} } @article{ GK96, author = {Geck, M. and Kim, S.}, title = {Bases for the {B}ruhat\texttt{\symbol{45}}{C}hevalley order on all finite {C}oxeter groups}, journal = {J. Algebra}, volume = {197}, number = {1}, year = {1997}, pages = {278{\textendash}310}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20F55 (06A07)}, mrnumber = {1480786 (98k:20066)}, mrreviewer = {Andrew Mathas}, printedkey = {GK97} } @article{ GM97, author = {Geck, M. and Michel, J.}, title = {``{G}ood'' elements of finite {C}oxeter groups and representations of {I}wahori\texttt{\symbol{45}}{H}ecke algebras}, journal = {Proc. London Math. Soc. (3)}, volume = {74}, number = {2}, year = {1997}, pages = {275{\textendash}305}, coden = {PLMTAL}, fjournal = {Proceedings of the London Mathematical Society. Third Series}, issn = {0024\texttt{\symbol{45}}6115}, mrclass = {20F55 (20C20)}, mrnumber = {1425324 (97i:20050)}, mrreviewer = {Stephen P. Humphries}, printedkey = {GM97} } @article{ GP93, author = {Geck, M. and Pfeiffer, G.}, title = {On the irreducible characters of {H}ecke algebras}, journal = {Adv. Math.}, volume = {102}, number = {1}, year = {1993}, pages = {79{\textendash}94}, coden = {ADMTA4}, fjournal = {Advances in Mathematics}, issn = {0001\texttt{\symbol{45}}8708}, mrclass = {20C15}, mrnumber = {1250466 (94m:20018)}, mrreviewer = {Hiroshi Naruse}, printedkey = {GP93} } @article{ Chv96, author = {Geck, M. and Hiss, G. and L{\"u}beck, F. and Malle, G. and Pfeiffer, G.}, title = {C{HEVIE}{\textendash}a system for computing and processing generic character tables}, journal = {Appl. Algebra Engrg. Comm. Comput.}, volume = {7}, number = {3}, year = {1996}, pages = {175{\textendash}210}, note = {Computational methods in Lie theory (Essen, 1994)}, coden = {AAECEW}, fjournal = {Applicable Algebra in Engineering, Communication and Computing}, issn = {0938\texttt{\symbol{45}}1279}, mrclass = {20C40 (20C33)}, mrnumber = {1486215 (99m:20017)}, printedkey = {GHLMP96} } @phdthesis{ Gla87, author = {Glasby, S. P.}, title = {Computational Approaches to the Theory of Finite Soluble Groups}, school = {Department of Pure Mathematics, University of Sydney}, address = {Sydney, Australia}, year = {1987}, printedkey = {Gla87}, type = {Phd thesis} } @article{ GS90, author = {Glasby, S. P. and Slattery, M. C.}, title = {Computing intersections and normalizers in soluble groups}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {637{\textendash}651}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20D10}, mrnumber = {1075428 (91j:20044)}, mrreviewer = {Patrizia Longobardi}, printedkey = {GS90} } @article{ GW95, author = {Gow, R. and Willems, W.}, title = {Methods to decide if simple self\texttt{\symbol{45}}dual modules over fields of characteristic {$2$} are of quadratic type}, journal = {J. Algebra}, volume = {175}, number = {3}, year = {1995}, pages = {1067{\textendash}1081}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C20}, mrnumber = {1341759}, mrreviewer = {Cornelius Pillen}, url = {https://doi.org/10.1006/jabr.1995.1227}, doi = {10.1006/jabr.1995.1227}, printedkey = {GW95} } @book{ GKP90, author = {Graham, R. L. and Knuth, D. E. and Patashnik, O.}, title = {Concrete mathematics}, publisher = {Addison\texttt{\symbol{45}}Wesley Publishing Company Advanced Book Program}, address = {Reading, MA}, year = {1989}, pages = {xiv+625}, note = {A foundation for computer science}, isbn = {0\texttt{\symbol{45}}201\texttt{\symbol{45}}14236\texttt{\symbol{45}}8}, mrclass = {00A05 (00\texttt{\symbol{45}}01 05\texttt{\symbol{45}}01 68\texttt{\symbol{45}}01 68Rxx)}, mrnumber = {1001562 (91f:00001)}, mrreviewer = {Volker Strehl}, printedkey = {GKP89} } @article{ HalvRam94, author = {Halverson, T. and Ram, A.}, title = {Murnaghan\texttt{\symbol{45}}{N}akayama rules for characters of {I}wahori\texttt{\symbol{45}}{H}ecke algebras of classical type}, journal = {Trans. Amer. Math. Soc.}, volume = {348}, number = {10}, year = {1996}, pages = {3967{\textendash}3995}, coden = {TAMTAM}, fjournal = {Transactions of the American Mathematical Society}, issn = {0002\texttt{\symbol{45}}9947}, mrclass = {20C15}, mrnumber = {1322951 (96m:20011)}, mrreviewer = {Fran{\c c}ois Digne}, printedkey = {HR96} } @book{ Hah83, editor = {Hahn, T.}, title = {International tables for crystallography. {V}ol. {A}}, publisher = {Published for International Union of Crystallography, Chester}, year = {1983}, pages = {xv+854}, note = {Space\texttt{\symbol{45}}group symmetry}, isbn = {90\texttt{\symbol{45}}277\texttt{\symbol{45}}1445\texttt{\symbol{45}}2}, mrclass = {82A60 (00A69 20C35 20H15 82\texttt{\symbol{45}}02)}, mrnumber = {817988 (87i:82092)}, mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}}, printedkey = {Hah83} } @book{ Hah95, editor = {Hahn, T.}, booktitle = {International Tables for Crystallography, \texttt{\symbol{123}}V\texttt{\symbol{125}}ol. \texttt{\symbol{123}}A\texttt{\symbol{125}}}, title = {International Tables for Crystallography, {V}ol. {A}}, publisher = {Kluwer, Dordrecht}, edition = {4th}, year = {1995}, note = {Space\texttt{\symbol{45}}group symmetry}, printedkey = {Hah95} } @book{ Hall, author = {Hall Jr., M.}, title = {The theory of groups}, publisher = {The Macmillan Co.}, address = {New York, N.Y.}, year = {1959}, pages = {xiii+434}, mrclass = {20.00}, mrnumber = {0103215 (21 \#1996)}, mrreviewer = {R. H. Bruck}, printedkey = {HJ59} } @book{ HS64, author = {Hall Jr., M. and Senior, J. K.}, title = {The groups of order {$2^{n} (n \leq 6)$}}, publisher = {The Macmillan Co.}, address = {New York}, year = {1964}, pages = {225}, mrclass = {20.00}, mrnumber = {0168631 (29 \#5889)}, mrreviewer = {Michael Rosen}, printedkey = {JS64} } @article{ Hal34, author = {Hall, P.}, title = {A contribution to the theory of groups of prime\texttt{\symbol{45}}power order}, journal = {Proceedings of the London Mathematical Society}, volume = {s2\texttt{\symbol{45}}36}, number = {1}, year = {1934}, pages = {29{\textendash}95}, url = {https://doi.org/10.1112/plms/s2\texttt{\symbol{45}}36.1.29}, doi = {10.1112/plms/s2\texttt{\symbol{45}}36.1.29}, printedkey = {Hal34} } @article{ Hal36, author = {Hall, P.}, title = {On a Theorem of Frobenius}, journal = {Proceedings of the London Mathematical Society}, volume = {s2\texttt{\symbol{45}}40}, number = {1}, year = {1936}, pages = {468{\textendash}501}, url = {https://doi.org/10.1112/plms/s2\texttt{\symbol{45}}40.1.468}, doi = {10.1112/plms/s2\texttt{\symbol{45}}40.1.468}, printedkey = {Hal36} } @article{ Hal36, author = {Hall, P.}, title = {The {E}ulerian functions of a group}, journal = {Quarterly J. Of Mathematics}, volume = {os\texttt{\symbol{45}}7}, number = {1}, year = {1936}, pages = {134{\textendash}151}, printedkey = {Hal36} } @phdthesis{ Han88, author = {Hanrath, W.}, title = {Irreduzible {D}arstellungen von {R}aumgruppen}, school = {Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1988}, printedkey = {Han88}, type = {Dissertation} } @techreport{ Hav69, author = {Havas, G.}, title = {Symbolic and Algebraic Calculation}, institution = {Basser Department of Computer Science, University of Sydney}, number = {89}, address = {Sydney, Australia}, year = {1969}, keywords = {finitely presented groups; simplification; Tietze transformations}, printedkey = {Hav69}, type = {Basser Computing Dept., Technical Report} } @inproceedings{ Hav74b, author = {Havas, G.}, editor = {Newman, M. F.}, booktitle = {Proceedings of the Second International Conference on the Theory of Groups (Australian Nat. Univ., Canberra, 1973)}, title = {A {R}eidemeister\texttt{\symbol{45}}{S}chreier program}, publisher = {Springer}, series = {Lecture Notes in Math.}, volume = {372}, address = {Berlin}, year = {1974}, pages = {347{\textendash}356. Lecture Notes in Math., Vol. 372}, crossref = {Canberra73}, note = {Held at the Australian National University, Canberra, August 13{\textendash}24, 1973, With an introduction by B. H. Neumann, Lecture Notes in Mathematics, Vol. 372}, mrclass = {20\texttt{\symbol{45}}04}, mrnumber = {0376827 (51 \#13002)}, mrreviewer = {F. Levin}, reviews = {MR 49\#9054, Zbl 282.00012}, keywords = {finitely presented groups; subgroup presentation; Reidemeister Schreier (rs); program description}, printedkey = {Hav74} } @inproceedings{ Hav91, author = {Havas, G.}, booktitle = {Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991}, title = {Coset enumeration strategies}, publisher = {ACM Press}, year = {1991}, pages = {191{\textendash}199}, crossref = {ISSAC91}, printedkey = {Hav91} } @article{ HM97, author = {Havas, G. and Majewski, B. S.}, title = {Integer matrix diagonalization}, journal = {J. Symbolic Comput.}, volume = {24}, number = {3\texttt{\symbol{45}}4}, year = {1997}, pages = {399{\textendash}408}, note = {Computational algebra and number theory (London, 1993)}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {65F30 (65Y20)}, mrnumber = {1484488 (98g:65039)}, printedkey = {HM97} } @incollection{ HN80, author = {Havas, G. and Newman, M. F.}, editor = {Mennicke, J. L.}, booktitle = {Burnside groups (Proc. Workshop, Univ. Bielefeld, Bielefeld, 1977)}, title = {Application of computers to questions like those of {B}urnside}, publisher = {Springer}, series = {Lecture Notes in Math.}, volume = {806}, address = {Berlin}, year = {1980}, pages = {211{\textendash}230}, crossref = {Bielefeld77}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}10006\texttt{\symbol{45}}7}, mrclass = {20\texttt{\symbol{45}}04 (20F50)}, mrnumber = {586047 (82d:20002)}, mrreviewer = {Colin M. Campbell}, reviews = {MR 81j:20002, Zbl 424.00008}, keywords = {finitely presentend groups; Burnside groups; nilpotent quotient}, printedkey = {HN80} } @incollection{ HKRR84, author = {Havas, G. and Kenne, P. E. and Richardson, J. S. and Robertson, E. F.}, editor = {Atkinson, M. D.}, booktitle = {Computational group theory (Durham, 1982)}, title = {A {T}ietze transformation program}, publisher = {Academic Press}, address = {London}, year = {1984}, pages = {69{\textendash}73}, crossref = {Durham1982}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20F05 (20\texttt{\symbol{45}}04)}, mrnumber = {760651 (86b:20039)}, keywords = {finitely presented groups; simplification; Tietze}, printedkey = {HKRR84} } @article{ HIO89, author = {Hawkes, T. and Isaacs, I. M. and {\"O}zaydin, M.}, title = {On the {M}{\"o}bius function of a finite group}, journal = {Rocky Mountain J. Math.}, volume = {19}, number = {4}, year = {1989}, pages = {1003{\textendash}1034}, coden = {RMJMAE}, fjournal = {The Rocky Mountain Journal of Mathematics}, issn = {0035\texttt{\symbol{45}}7596}, mrclass = {20D30}, mrnumber = {1039540 (90k:20046)}, mrreviewer = {David Gluck}, printedkey = {HI{\"O}89} } @misc{ HJLP92, author = {Hiss, G. and Jansen, C. and Lux, K. and Parker, R. A.}, title = {Computational {M}odular {C}haracter {T}heory}, howpublished = {\href {http://www.math.rwth-aachen.de/~MOC/CoMoChaT/} {\texttt{http://www.math.rwth\texttt{\symbol{45}}aachen.de/}\discretionary {}{}{}\texttt{\texttt{\symbol{126}}MOC/}\discretionary {}{}{}\texttt{CoMoChaT/}}}, printedkey = {HJLP} } @incollection{ Holt94, author = {Holt, D. F.}, booktitle = {Geometric and computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ, 1994)}, title = {The {W}arwick automatic groups software}, publisher = {Amer. Math. Soc.}, series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, volume = {25}, address = {Providence, RI}, year = {1996}, pages = {69{\textendash}82}, mrclass = {20F10 (03D40 20\texttt{\symbol{45}}04 68Q40)}, mrnumber = {1364180 (96m:20052)}, mrreviewer = {Sarah E. Rees}, printedkey = {Hol96} } @article{ HLOR96a, author = {Holt, D. F. and Leedham\texttt{\symbol{45}}Green, C. R. and O'Brien, E. A. and Rees, S.}, title = {Computing matrix group decompositions with respect to a normal subgroup}, journal = {J. Algebra}, volume = {184}, number = {3}, year = {1996}, pages = {818{\textendash}838}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C40 (20B40)}, mrnumber = {1407872 (97m:20021)}, mrreviewer = {Wolfgang Lempken}, printedkey = {HLOR96} } @article{ HLOR96b, author = {Holt, D. F. and Leedham\texttt{\symbol{45}}Green, C. R. and O'Brien, E. A. and Rees, S.}, title = {Testing matrix groups for primitivity}, journal = {J. Algebra}, volume = {184}, number = {3}, year = {1996}, pages = {795{\textendash}817}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C40 (20B40)}, mrnumber = {1407871 (97m:20020)}, mrreviewer = {Wolfgang Lempken}, printedkey = {HLOR96} } @book{ HP89, author = {Holt, D. F. and Plesken, W.}, title = {Perfect groups}, publisher = {The Clarendon Press Oxford University Press}, series = {Oxford Mathematical Monographs}, address = {New York}, year = {1989}, pages = {xii+364}, note = {With an appendix by W. Hanrath, Oxford Science Publications}, isbn = {0\texttt{\symbol{45}}19\texttt{\symbol{45}}853559\texttt{\symbol{45}}7}, mrclass = {20D05 (20F05)}, mrnumber = {1025760 (91c:20029)}, mrreviewer = {M. Ram Murty}, printedkey = {HP89} } @article{ HR94, author = {Holt, D. F. and Rees, S.}, title = {Testing modules for irreducibility}, journal = {J. Austral. Math. Soc. Ser. A}, volume = {57}, number = {1}, year = {1994}, pages = {1{\textendash}16}, coden = {JAMADS}, fjournal = {Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics}, issn = {0263\texttt{\symbol{45}}6115}, mrclass = {20C40}, mrnumber = {1279282 (95e:20023)}, mrreviewer = {Herbert Pahlings}, printedkey = {HR94} } @book{ HEO05, author = {Holt, D. F. and Eick, B. and O'Brien, E. A.}, title = {Handbook of Computational Group Theory}, publisher = {Chapman {\nobreakspace} Hall/CRC}, series = {Discrete mathematics and its applications}, address = {New York}, year = {2005}, isbn = {1\texttt{\symbol{45}}584\texttt{\symbol{45}}88372\texttt{\symbol{45}}3}, printedkey = {HEO05} } @incollection{ HR99a, author = {Havas, G. and Ramsay, C.}, editor = {Kantor, W. M. and Seress, {\a'A}.}, booktitle = {Groups and computation, III (Columbus, OH, 1999)}, title = {Experiments in coset enumeration}, publisher = {de Gruyter}, series = {Ohio State Univ. Math. Res. Inst. Publ.}, volume = {8}, address = {Berlin}, year = {2001}, pages = {183{\textendash}192}, crossref = {DIMACS3}, isbn = {3\texttt{\symbol{45}}11\texttt{\symbol{45}}016721\texttt{\symbol{45}}2}, mrclass = {20F05 (20\texttt{\symbol{45}}04)}, mrnumber = {1829479 (2002e:20064)}, mrreviewer = {Sarah E. Rees}, printedkey = {HR01} } @article{ HR99b, author = {Havas, G. and Ramsay, C.}, title = {Proving a group trivial made easy: a case study in coset enumeration}, journal = {Bull. Austral. Math. Soc.}, volume = {62}, number = {1}, year = {2000}, pages = {105{\textendash}118}, coden = {ALNBAB}, fjournal = {Bulletin of the Australian Mathematical Society}, issn = {0004\texttt{\symbol{45}}9727}, mrclass = {20F05}, mrnumber = {1775892 (2002j:20061)}, mrreviewer = {E. F. Robertson}, printedkey = {HR00} } @book{ Howie76, author = {Howie, J. M.}, title = {An introduction to semigroup theory}, publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]}, address = {London}, year = {1976}, pages = {x+272}, note = {L.M.S. Monographs, No. 7}, mrclass = {20MXX}, mrnumber = {0466355 (57 \#6235)}, mrreviewer = {T. E. Hall}, printedkey = {How76} } @mastersthesis{ Hulpke93, author = {Hulpke, A.}, title = {{Zur Berechnung von Charaktertafeln}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, year = {1993}, printedkey = {Hul93}, type = {Diplomarbeit} } @phdthesis{ Hulpke96, author = {Hulpke, A.}, title = {Konstruktion transitiver {P}ermutationsgruppen}, publisher = {Verlag der Augustinus Buchhandlung, Aachen}, school = {Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1996}, printedkey = {Hul96}, type = {Dissertation} } @inproceedings{ Hulpke98, author = {Hulpke, A.}, booktitle = {Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation (Rostock)}, title = {Computing normal subgroups}, publisher = {ACM}, address = {New York}, year = {1998}, pages = {194{\textendash}198 (electronic)}, crossref = {ISSAC98}, note = {Chairman: Volker Weispfenning and Barry Trager}, isbn = {1\texttt{\symbol{45}}58113\texttt{\symbol{45}}002\texttt{\symbol{45}}3}, location = {Rostock, Germany}, mrclass = {20\texttt{\symbol{45}}04 (68W30)}, mrnumber = {1805183}, source = {ACM Order No.: 505980, ACM member price \$25}, printedkey = {Hul98} } @article{ Hulpke99, author = {Hulpke, A.}, title = {Computing subgroups invariant under a set of automorphisms}, journal = {J. Symbolic Comput.}, volume = {27}, number = {4}, year = {1999}, pages = {415{\textendash}427}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20\texttt{\symbol{45}}04 (20D30)}, mrnumber = {1681348 (2000a:20001)}, mrreviewer = {D. F. Holt}, printedkey = {Hul99} } @article{ HulpkeClasses, author = {Hulpke, A.}, title = {Conjugacy classes in finite permutation groups via homomorphic images}, journal = {Math. Comp.}, volume = {69}, number = {232}, year = {2000}, pages = {1633{\textendash}1651}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20B40}, mrnumber = {1659847 (2001a:20006)}, mrreviewer = {Alberto Delgado}, printedkey = {Hul00} } @article{ HulpkeQuot, author = {Hulpke, A.}, title = {Representing subgroups of finitely presented groups by quotient subgroups}, journal = {Experiment. Math.}, volume = {10}, number = {3}, year = {2001}, pages = {369{\textendash}381}, fjournal = {Experimental Mathematics}, issn = {1058\texttt{\symbol{45}}6458}, mrclass = {20F05 (20C34 20C40 68W30)}, mrnumber = {1917425 (2003i:20049)}, mrreviewer = {Dmitrii V. Pasechnik}, printedkey = {Hul01} } @article{ HulpkeTG, author = {Hulpke, A.}, title = {Constructing transitive permutation groups}, journal = {J. Symbolic Comput.}, volume = {39}, number = {1}, year = {2005}, pages = {1{\textendash}30}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20B10 (20B35)}, mrnumber = {2168238 (2006e:20004)}, mrreviewer = {J. Quistorff}, printedkey = {Hul05} } @book{ Hum72, author = {Humphreys, J. E.}, title = {Introduction to {L}ie algebras and representation theory}, publisher = {Springer\texttt{\symbol{45}}Verlag}, address = {New York}, year = {1972}, pages = {xii+169}, note = {Graduate Texts in Mathematics, Vol. 9}, mrclass = {17BXX}, mrnumber = {0323842 (48 \#2197)}, mrreviewer = {F. W. Lemire}, printedkey = {Hum72} } @book{ Hum78, author = {Humphreys, J. E.}, title = {Introduction to {L}ie algebras and representation theory}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Graduate Texts in Mathematics}, volume = {9}, address = {New York}, year = {1978}, pages = {xii+171}, note = {Second printing, revised}, isbn = {0\texttt{\symbol{45}}387\texttt{\symbol{45}}90053\texttt{\symbol{45}}5}, mrclass = {17Bxx}, mrnumber = {499562 (81b:17007)}, mrreviewer = {I. P. Shestakov}, printedkey = {Hum78} } @book{ Hum90, author = {Humphreys, J. E.}, title = {Reflection groups and {C}oxeter groups}, publisher = {Cambridge University Press}, series = {Cambridge Studies in Advanced Mathematics}, volume = {29}, address = {Cambridge}, year = {1990}, pages = {xii+204}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}37510\texttt{\symbol{45}}X}, mrclass = {20\texttt{\symbol{45}}02 (20F32 20F55 20G15 20H15)}, mrnumber = {1066460 (92h:20002)}, mrreviewer = {Louis Solomon}, printedkey = {Hum90} } @book{ Hum90, author = {Humphreys, J. E.}, title = {Reflection groups and {C}oxeter groups}, publisher = {Cambridge University Press}, series = {Cambridge Studies in Advanced Mathematics}, volume = {29}, address = {Cambridge}, year = {1990}, pages = {xii+204}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}37510\texttt{\symbol{45}}X}, mrclass = {20\texttt{\symbol{45}}02 (20F32 20F55 20G15 20H15)}, mrnumber = {1066460 (92h:20002)}, mrreviewer = {Louis Solomon}, printedkey = {Hum90} } @book{ Hup67, author = {Huppert, B.}, title = {Endliche {G}ruppen. {I}}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Die Grundlehren der Mathematischen Wissenschaften, Band 134}, address = {Berlin}, year = {1967}, pages = {xii+793}, mrclass = {20.25}, mrnumber = {0224703 (37 \#302)}, mrreviewer = {J. H. Walter}, printedkey = {Hup67} } @book{ Hup82, author = {Huppert, B. and Blackburn, N.}, title = {Finite groups. {II}}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Grundlehren Math. Wiss.}, volume = {242}, address = {Berlin}, year = {1982}, pages = {xiii+531}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}10632\texttt{\symbol{45}}4}, mrclass = {20\texttt{\symbol{45}}02 (20Dxx)}, mrnumber = {650245 (84i:20001a)}, printedkey = {HB82} } @book{ Hup98, author = {Huppert, B.}, title = {Character theory of finite groups}, publisher = {Walter de Gruyter \& Co.}, series = {de Gruyter Expositions in Mathematics}, volume = {25}, address = {Berlin}, year = {1998}, pages = {vi+618}, isbn = {3\texttt{\symbol{45}}11\texttt{\symbol{45}}015421\texttt{\symbol{45}}8}, mrclass = {20C15 (20C05 20C10)}, mrnumber = {1645304 (99j:20011)}, mrreviewer = {Gerhard Hiss}, printedkey = {Hup98} } @book{ Isa76, author = {Isaacs, I. M.}, title = {Character theory of finite groups}, publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]}, address = {New York}, year = {1976}, pages = {xii+303}, note = {Pure and Applied Mathematics, No. 69}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}374550\texttt{\symbol{45}}0}, mrclass = {20\texttt{\symbol{45}}02}, mrnumber = {0460423 (57 \#417)}, mrreviewer = {Stephen D. Smith}, printedkey = {Isa76} } @article{ IshibashiEarnest94, author = {Ishibashi, H. and Earnest, A. G.}, title = {Two\texttt{\symbol{45}}element generation of orthogonal groups over finite fields}, journal = {J. Algebra}, volume = {165}, number = {1}, year = {1994}, pages = {164{\textendash}171}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20G40 (20F05)}, mrnumber = {1272584 (95b:20069)}, mrreviewer = {Jia\texttt{\symbol{45}}Chen Ye}, printedkey = {IE94} } @article{ MR1398123, author = {Ishibashi, H. and Earnest, A. G.}, title = {Addendum: ``{T}wo\texttt{\symbol{45}}element generation of orthogonal groups over finite fields'' [{J}. {A}lgebra {\bf 165} (1994), no. 1, 164{\textendash}171; {MR}1272584 (95b:20069)]}, journal = {J. Algebra}, volume = {182}, number = {3}, year = {1996}, pages = {805}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20G40 (20F05)}, mrnumber = {1398123 (97d:20061)}, printedkey = {IE96} } @article{ MR1305274, author = {Ishibashi, H. and Earnest, A. G.}, title = {Erratum: ``{T}wo\texttt{\symbol{45}}element generation of orthogonal groups over finite fields'' [{J}. {A}lgebra {\bf 165} (1994), no. 1, 164{\textendash}171; {MR}1272584 (95b:20069)]}, journal = {J. Algebra}, volume = {170}, number = {3}, year = {1994}, pages = {1035}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20G40 (20F05)}, mrnumber = {1305274 (95h:20062)}, printedkey = {IE94} } @book{ JK81, author = {James, G. and Kerber, A.}, title = {The representation theory of the symmetric group}, publisher = {Addison\texttt{\symbol{45}}Wesley Publishing Co., Reading, Mass.}, series = {Encyclopedia of Mathematics and its Applications}, volume = {16}, year = {1981}, pages = {xxviii+510}, note = {With a foreword by P. M. Cohn, With an introduction by Gilbert de B. Robinson}, isbn = {0\texttt{\symbol{45}}201\texttt{\symbol{45}}13515\texttt{\symbol{45}}9}, mrclass = {20\texttt{\symbol{45}}02 (20C30)}, mrnumber = {644144}, mrreviewer = {A. O. Morris}, printedkey = {JK81} } @book{ JLPW95, author = {Jansen, C. and Lux, K. and Parker, R. and Wilson, R.}, title = {An atlas of {B}rauer characters}, publisher = {The Clarendon Press Oxford University Press}, series = {London Mathematical Society Monographs. New Series}, volume = {11}, address = {New York}, year = {1995}, pages = {xviii+327}, note = {Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications}, isbn = {0\texttt{\symbol{45}}19\texttt{\symbol{45}}851481\texttt{\symbol{45}}6}, mrclass = {20C20 (20\texttt{\symbol{45}}00 20D06 20D08)}, mrnumber = {1367961 (96k:20016)}, mrreviewer = {J. L. Alperin}, printedkey = {JLPW95} } @book{ Joh97, author = {Johnson, D. L.}, title = {Presentations of groups}, publisher = {Cambridge University Press}, edition = {Second}, series = {London Mathematical Society Student Texts}, volume = {15}, address = {Cambridge}, year = {1997}, pages = {xii+216}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}58542\texttt{\symbol{45}}2}, mrclass = {20\texttt{\symbol{45}}01 (20F05)}, mrnumber = {1472735 (98e:20001)}, printedkey = {Joh97} } @mastersthesis{ Kaup92, author = {Kaup, A.}, title = {Gitterbasen und {C}haraktere endlicher {G}ruppen}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1992}, printedkey = {Kau92}, type = {Diplomarbeit} } @article{ KL79, author = {Kazhdan, D. and Lusztig, G.}, title = {Representations of {C}oxeter groups and {H}ecke algebras}, journal = {Invent. Math.}, volume = {53}, number = {2}, year = {1979}, pages = {165{\textendash}184}, coden = {INVMBH}, fjournal = {Inventiones Mathematicae}, issn = {0020\texttt{\symbol{45}}9910}, mrclass = {20H15 (17B35 20G05 22E47)}, mrnumber = {560412 (81j:20066)}, mrreviewer = {Vinay V. Deodhar}, printedkey = {KL79} } @article{ KLM01, author = {Kemper, G. and L{\"u}beck, F. and Magaard, K.}, title = {Matrix generators for the {R}ee groups {${}^2G_2(q)$}}, journal = {Comm. Algebra}, volume = {29}, number = {1}, year = {2001}, pages = {407{\textendash}413}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20C33 (20D06)}, mrnumber = {1842506 (2002e:20025)}, printedkey = {KLM01} } @book{ Ker91, author = {Kerber, A.}, title = {Algebraic combinatorics via finite group actions}, publisher = {Bibliographisches Institut}, address = {Mannheim}, year = {1991}, pages = {436}, isbn = {3\texttt{\symbol{45}}411\texttt{\symbol{45}}14521\texttt{\symbol{45}}8}, mrclass = {05E10 (20C30)}, mrnumber = {1115208 (92k:05130)}, mrreviewer = {A. O. Morris}, printedkey = {Ker91} } @article{ KimmerleLyonsSandlingTeague90, author = {Kimmerle, W. and Lyons, R. and Sandling, R. and Teague, D. N.}, title = {Composition factors from the group ring and {A}rtin's theorem on orders of simple groups}, journal = {Proc. London Math. Soc. (3)}, volume = {60}, number = {1}, year = {1990}, pages = {89\texttt{\symbol{45}}\texttt{\symbol{45}}122}, coden = {PLMTAL}, fjournal = {Proceedings of the London Mathematical Society. Third Series}, issn = {0024\texttt{\symbol{45}}6115}, mrclass = {20D06 (20C05 20D60)}, mrnumber = {1023806 (91c:20030)}, mrreviewer = {P. Fong}, printedkey = {KLST90} } @book{ KleidmanLiebeck90, author = {Kleidman, P. and Liebeck, M.}, title = {The subgroup structure of the finite classical groups}, publisher = {Cambridge University Press}, series = {London Mathematical Society Lecture Note Series}, volume = {129}, address = {Cambridge}, year = {1990}, pages = {x+303}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}35949\texttt{\symbol{45}}X}, mrclass = {20\texttt{\symbol{45}}02 (20D06 20G40)}, mrnumber = {1057341 (91g:20001)}, mrreviewer = {R. W. Carter}, printedkey = {KL90} } @article{ Klimyk66, author = {Klimyk, A. U.}, title = {Decomposition of the direct product of irreducible representations of semisimple {L}ie algebras into irreducible representations}, journal = {Ukrain. Mat. {\v Z}.}, volume = {18}, number = {5}, year = {1966}, pages = {19{\textendash}27}, fjournal = {Akademiya Nauk Ukrainsko{\u\i} SSR. Institut Matematiki. Ukrainski{\u\i} Matematicheski{\u\i} Zhurnal}, issn = {0041\texttt{\symbol{45}}6053}, mrclass = {17.30 (22.60)}, mrnumber = {0206169 (34 \#5991)}, mrreviewer = {Renzo Cirelli}, printedkey = {Kli66} } @incollection{ Klimyk68, author = {Klimyk, A. U.}, booktitle = {American {M}athematical {S}ociety {T}ranslations. {S}eries 2}, title = {Decomposition of a direct product of irreducible representations of a semisimple {L}ie algebra into irreducible representations}, publisher = {American Mathematical Society}, volume = {76}, address = {Providence, R.I.}, year = {1968}, pages = {63{\textendash}73}, printedkey = {Kli68} } @book{ TACP2, author = {Knuth, D. E.}, title = {The Art of Computer Programming, Volume 2: {S}eminumerical Algorithms}, publisher = {Addison\texttt{\symbol{45}}Wesley}, edition = {third}, year = {1998}, printedkey = {Knu98} } @book{ MR0286318, author = {Knuth, D. E.}, title = {The art of computer programming. {V}ol. 2: {S}eminumerical algorithms}, publisher = {Addison\texttt{\symbol{45}}Wesley Publishing Co., Reading, Mass.\texttt{\symbol{45}}London\texttt{\symbol{45}}Don Mills, Ont}, year = {1969}, pages = {xi+624}, mrclass = {68.00 (65.00)}, mrnumber = {0286318 (44 \#3531)}, mrreviewer = {M. Muller}, printedkey = {Knu69} } @book{ Lan70, author = {Lang, S.}, title = {Algebraic number theory}, publisher = {Addison\texttt{\symbol{45}}Wesley Publishing Co., Reading, Mass.\texttt{\symbol{45}}London\texttt{\symbol{45}}Don Mills, Ont.}, year = {1970}, pages = {xi+354}, mrclass = {10.68}, mrnumber = {282947}, mrreviewer = {G. Whaples}, printedkey = {Lan70} } @book{ Lau82, author = {Laue, R.}, title = {Zur {K}onstruktion und {K}lassifikation endlicher aufl{\"o}sbarer {G}ruppen}, journal = {Bayreuth. Math. Schr.}, publisher = {Universit{\"a}t Bayreuth}, number = {9}, year = {1982}, pages = {ii+304}, notes = {PAGES: ii + 304, 1 correction sheet, Earlier version: Habilitationsschrift, RWTH Aachen, 1980}, fjournal = {Bayreuther Mathematische Schriften}, issn = {0172\texttt{\symbol{45}}1062}, mrclass = {20D10 (20\texttt{\symbol{45}}02)}, mrnumber = {651224 (84e:20018)}, mrreviewer = {T. O. Hawkes}, reviews = {MR 84e:20018 (T.{\nobreakspace}O. Hawkes), Zbl 479.20010 (H. Heineken)}, keywords = {polycyclic groups;;; classification}, printedkey = {Lau82} } @inproceedings{ SOGOS, author = {Laue, R. and Neub{\"u}ser, J. and Schoenwaelder, U.}, editor = {Atkinson, M. D.}, booktitle = {Computational group theory (Durham, 1982)}, title = {Algorithms for finite soluble groups and the {SOGOS} system}, publisher = {Academic Press}, address = {London}, year = {1984}, pages = {105{\textendash}135}, crossref = {Durham1982}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20D10 (20\texttt{\symbol{45}}04 20D15 20F05 68Q40)}, mrnumber = {760654 (86h:20023)}, mrreviewer = {Gerhard Pazderski}, reviews = {MR 86h:20023 (Gerhard Pazderski), Zbl 547:20012 (E. Kommissartschik)}, keywords = {polycyclic groups;;; algorithm description}, printedkey = {LNS84} } @book{ LeC86, author = {LeChenadec, P.}, title = {Canonical forms in finitely presented algebras}, publisher = {Pitman Publishing Ltd.}, series = {Research Notes in Theoretical Computer Science}, address = {London}, year = {1986}, pages = {xii+201}, isbn = {0\texttt{\symbol{45}}273\texttt{\symbol{45}}08721\texttt{\symbol{45}}5}, mrclass = {68Q50 (03B35 03D03 08B05 20F05 68Q40)}, mrnumber = {840218 (88b:68117)}, mrreviewer = {Friedrich Otto}, printedkey = {LeC86} } @article{ LS90, author = {Leedham\texttt{\symbol{45}}Green, C. R. and Soicher, L. H.}, title = {Collection from the left and other strategies}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {665{\textendash}675}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20D10 (68Q25)}, mrnumber = {1075430 (92b:20021)}, mrreviewer = {M. Greendlinger}, printedkey = {LS90} } @article{ LLL82, author = {Lenstra, A. K. and Lenstra Jr., H. W. and Lov{\a'a}sz, L.}, title = {Factoring polynomials with rational coefficients}, journal = {Math. Ann.}, volume = {261}, number = {4}, year = {1982}, pages = {515{\textendash}534}, key = {LLL82}, coden = {MAANA3}, fjournal = {Mathematische Annalen}, issn = {0025\texttt{\symbol{45}}5831}, mrclass = {12\texttt{\symbol{45}}04 (12A20 68C20 68C25)}, mrnumber = {682664 (84a:12002)}, mrreviewer = {Daniel Lazard} } @article{ Leo80, author = {Leon, J. S.}, title = {On an algorithm for finding a base and a strong generating set for a group given by generating permutations}, journal = {Math. Comp.}, volume = {35}, number = {151}, year = {1980}, pages = {941{\textendash}974}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20\texttt{\symbol{45}}04 (20F05)}, mrnumber = {572868 (82i:20004)}, mrreviewer = {Colin M. Campbell}, reviews = {MR 82i:20004 (Colin M. Campbell), Zbl 444.20001 (J. Neub{\"u}ser)}, keywords = {permutation groups; stabilizer chain, base and strong generating set of; Schreier Sims, Todd Coxeter (tc)}, printedkey = {Leo80} } @article{ Leon91, author = {Leon, J. S.}, title = {Permutation group algorithms based on partitions. {I}. {T}heory and algorithms}, journal = {J. Symbolic Comput.}, volume = {12}, number = {4\texttt{\symbol{45}}5}, year = {1991}, pages = {533{\textendash}583}, note = {Computational group theory, Part 2}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {68Q40 (20B40)}, mrnumber = {1146516 (93c:68043)}, mrreviewer = {Jean Moulin Ollagnier}, printedkey = {Leo91} } @manual{ Lin93, author = {Linton, S.}, title = {Vector Enumeration Programs, version 3}, year = {1993}, printedkey = {Lin93} } @phdthesis{ Lo, author = {Lo, E.}, title = {A Polycyclic Quotient Algorithm}, school = {Rutgers University}, year = {1996}, printedkey = {Lo96} } @misc{ L03, author = {L{\"u}beck, F.}, title = {Conway polynomials for finite fields}, year = {2003}, howpublished = {\href {http://www.math.rwth-aachen.de:8001/~Frank.Luebeck/data/ConwayPol} {\texttt{http://www.math.rwth\texttt{\symbol{45}}aachen.de:8001/}\discretionary {}{}{}\texttt{\texttt{\symbol{126}}Frank.Luebeck/}\discretionary {}{}{}\texttt{data/}\discretionary {}{}{}\texttt{ConwayPol}}}, printedkey = {L{\"u}b03} } @article{ luksrakocziwright97, author = {Luks, E. M. and R{\a'a}k{\a'o}czi, F. and Wright, C. R. B.}, title = {Some algorithms for nilpotent permutation groups}, journal = {J. Symbolic Comput.}, volume = {23}, number = {4}, year = {1997}, pages = {335{\textendash}354}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {68Q40 (20B05)}, mrnumber = {1445430 (97m:68113)}, printedkey = {LRW97} } @article{ Lus81, author = {Lusztig, G.}, title = {On a theorem of {B}enson and {C}urtis}, journal = {J. Algebra}, volume = {71}, number = {2}, year = {1981}, pages = {490{\textendash}498}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20G05 (14L30)}, mrnumber = {630610 (83a:20053)}, mrreviewer = {S. I. Gel{\ensuremath{'}}fand}, printedkey = {Lus81} } @book{ Lus85, author = {Lusztig, G.}, title = {Characters of reductive groups over a finite field}, publisher = {Princeton University Press}, series = {Annals of Mathematics Studies}, volume = {107}, address = {Princeton, NJ}, year = {1984}, pages = {xxi+384}, isbn = {0\texttt{\symbol{45}}691\texttt{\symbol{45}}08350\texttt{\symbol{45}}9; 0\texttt{\symbol{45}}691\texttt{\symbol{45}}08351\texttt{\symbol{45}}7}, mrclass = {20G05 (14L20 20C15)}, mrnumber = {742472 (86j:20038)}, mrreviewer = {Bhama Srinivasan}, printedkey = {Lus84} } @inproceedings{ LP91, author = {Lux, K. and Pahlings, H.}, editor = {Michler, G. O. and Ringel, C. M.}, booktitle = {Representation theory of finite groups and finite\texttt{\symbol{45}}dimensional algebras (Bielefeld, 1991)}, title = {Computational aspects of representation theory of finite groups}, publisher = {Birkh{\"a}user}, series = {Progr. Math.}, volume = {95}, address = {Basel}, year = {1991}, pages = {37{\textendash}64}, crossref = {MR91}, isbn = {3\texttt{\symbol{45}}7643\texttt{\symbol{45}}2604\texttt{\symbol{45}}2}, mrclass = {20C40}, mrnumber = {1112157 (92g:20025)}, mrreviewer = {Wolfgang Knapp}, printedkey = {LP91} } @article{ Mac81, author = {Macdonald, I. G.}, title = {Numbers of conjugacy classes in some finite classical groups}, journal = {Bull. Austral. Math. Soc.}, volume = {23}, number = {1}, year = {1981}, pages = {23{\textendash}48}, coden = {ALNBAB}, fjournal = {Bulletin of the Australian Mathematical Society}, issn = {0004\texttt{\symbol{45}}9727}, mrclass = {20G40}, mrnumber = {615131 (82j:20092)}, mrreviewer = {Naohisa Shimomura}, printedkey = {Mac81} } @article{ MV97, author = {Mahajan, M. and Vinay, V.}, title = {Determinant: combinatorics, algorithms, and complexity}, journal = {Chicago J. Theoret. Comput. Sci.}, year = {1997}, pages = {Article 5, 26 pp. (electronic)}, fjournal = {Chicago Journal of Theoretical Computer Science}, issn = {1073\texttt{\symbol{45}}0486}, mrclass = {15A15 (05C50 68Q15 68Q22 68R05)}, mrnumber = {1484546 (98m:15016)}, mrreviewer = {H.\texttt{\symbol{45}}J. Hoehnke}, printedkey = {MV97} } @inproceedings{ Mal96, author = {Malle, G.}, editor = {Cabanes, M.}, booktitle = {Finite reductive groups (Luminy, 1994)}, title = {Degr{\a'e}s relatifs des alg{\a`e}bres cyclotomiques associ{\a'e}es aux groupes de r{\a'e}flexions complexes de dimension deux}, publisher = {Birkh{\"a}user Boston}, series = {Progr. Math.}, volume = {141}, address = {Boston, MA}, year = {1997}, pages = {311{\textendash}332}, crossref = {Luminy94}, note = {Related structures and representations}, isbn = {0\texttt{\symbol{45}}8176\texttt{\symbol{45}}3885\texttt{\symbol{45}}7}, mrclass = {20C99 (20F55 20G40)}, mrnumber = {1429878 (98h:20019)}, mrreviewer = {Fran{\c c}ois Digne}, printedkey = {Mal97} } @article{ MS85, author = {Soicher, L. and McKay, J.}, title = {Computing {G}alois groups over the rationals}, journal = {J. Number Theory}, volume = {20}, number = {3}, year = {1985}, pages = {273{\textendash}281}, coden = {JNUTA9}, fjournal = {Journal of Number Theory}, issn = {0022\texttt{\symbol{45}}314X}, mrclass = {12\texttt{\symbol{45}}04 (11R32 11Y40)}, mrnumber = {797178 (87a:12002)}, mrreviewer = {Hale F. Trotter}, printedkey = {SM85} } @article{ McL77, author = {McLain, D. H.}, title = {An algorithm for determining defining relations of a subgroup}, journal = {Glasgow Math. J.}, volume = {18}, number = {1}, year = {1977}, pages = {51{\textendash}56}, fjournal = {Glasgow Mathematical Journal}, issn = {0017\texttt{\symbol{45}}0895}, mrclass = {20F05}, mrnumber = {0424950 (54 \#12908)}, mrreviewer = {N. S. Mendelsohn}, reviews = {MR 54 \# 12908 (N.{\nobreakspace}S. Mendelsohn), Zbl 348.20029 (Summary)}, keywords = {finitely presented groups; subgroup presentation; modified Todd Coxeter (mtc); algorithm description}, printedkey = {McL77} } @article{ MeckyNeubueser89, author = {Mecky, M. and Neub{\"u}ser, J.}, title = {Some remarks on the computation of conjugacy classes of soluble groups}, journal = {Bull. Austral. Math. Soc.}, volume = {40}, number = {2}, year = {1989}, pages = {281{\textendash}292}, coden = {ALNBAB}, fjournal = {Bulletin of the Australian Mathematical Society}, issn = {0004\texttt{\symbol{45}}9727}, mrclass = {20\texttt{\symbol{45}}04 (20D10)}, mrnumber = {1012835 (91i:20001)}, printedkey = {MN89} } @mastersthesis{ Merkwitz98, author = {Merkwitz, T.}, title = {{Markentafeln endlicher Gruppen}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1998}, printedkey = {Mer98}, type = {Diplomarbeit} } @mastersthesis{ Mni92, author = {Mnich, J.}, title = {Untergruppenverb{\"a}nde und aufl{\"o}sbare {G}ruppen in {GAP}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1992}, keywords = {groups; subgroup lattice, table of marks; cyclic extensions; algorithm description}, printedkey = {Mni92}, type = {Diplomarbeit} } @article{ Mon85, author = {Montgomery, P. L.}, title = {Modular multiplication without trial division}, journal = {Math. Comp.}, volume = {44}, number = {170}, year = {1985}, pages = {519{\textendash}521}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {11Y16}, mrnumber = {777282 (86e:11121)}, printedkey = {Mon85} } @article{ Mur58, author = {Murnaghan, F. D.}, title = {The orthogonal and symplectic groups}, journal = {Comm. Dublin Inst. Adv. Studies. Ser. A, no.}, volume = {13}, year = {1958}, pages = {146}, mrclass = {20.00}, mrnumber = {0103933 (21 \#2695)}, mrreviewer = {J. S. Frame}, printedkey = {Mur58} } @article{ MY79, author = {McKay, J. and Young, K. C.}, title = {The nonabelian simple groups {$G$}, {$|G| < 10^{6}$}{\textendash}minimal generating pairs}, journal = {Math. Comp.}, volume = {33}, number = {146}, year = {1979}, pages = {812{\textendash}814}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20D05 (20F05)}, mrnumber = {521296 (80d:20018)}, mrreviewer = {W. J. Wong}, printedkey = {MY79} } @manual{ Nau90, author = {McKay, B. D.}, title = {{nauty} user's guide (version 1.5), Technical report TR\texttt{\symbol{45}}CS\texttt{\symbol{45}}90\texttt{\symbol{45}}02}, organization = {Australian National University}, address = {Computer Science Department, ANU}, year = {1990}, printedkey = {McK90} } @phdthesis{ Neb95, author = {Nebe, G.}, title = {Endliche rationale {M}atrixgruppen vom {G}rad 24}, school = {Rheinisch Westf{\"a}lische Technische Hochschule}, series = {Aachener Beitr{\"a}ge zur Mathematik}, volume = {12}, address = {Aachen, Germany}, year = {1995}, printedkey = {Neb95}, type = {Dissertation} } @article{ Neb96, author = {Nebe, G.}, title = {Finite subgroups of {$GL_n(Q)$} for {$25 \leq n \leq 31$}}, journal = {Comm. Algebra}, volume = {24}, number = {7}, year = {1996}, pages = {2341{\textendash}2397}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20G15}, mrnumber = {1390378 (97e:20066)}, mrreviewer = {Martin W. Liebeck}, printedkey = {Neb96} } @phdthesis{ Neu67, author = {Neub{\"u}ser, J.}, title = {Die {U}ntergruppenverb{\"a}nde der {Gruppen} der {Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen} 64 und 96}, school = {Universit{\"a}t Kiel}, address = {Kiel, Germany}, year = {1967}, notes = {PAGES: 370}, printedkey = {Neu67}, type = {Habilitationsschrift} } @inproceedings{ Neu82, author = {Neub{\"u}ser, J.}, editor = {Campbell, C. M. and Robertson, E. F.}, booktitle = {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)}, title = {An elementary introduction to coset table methods in computational group theory}, publisher = {Cambridge Univ. Press}, series = {London Math. Soc. Lecture Note Ser.}, volume = {71}, address = {Cambridge}, year = {1982}, pages = {1{\textendash}45}, crossref = {GrpsStAndrews81}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}28974\texttt{\symbol{45}}2}, mrclass = {20\texttt{\symbol{45}}04 (20\texttt{\symbol{45}}02)}, mrnumber = {679153 (84f:20004)}, mrreviewer = {George Havas}, reviews = {MR 84f:20004 (George Havas), Zbl 489.20003 (G. Butler)}, keywords = {finitely presented groups; subgroup presentation, permutation representation, low index subgroups; Todd Coxeter (tc), modified Todd Coxeter (mtc); algorithm description, survey}, printedkey = {Neu82} } @book{ neukirch, author = {Neukirch, J.}, title = {Algebraische {Z}ahlentheorie}, publisher = {Springer, Berlin, Heidelberg and New York}, year = {1992}, printedkey = {Neu92} } @inbook{ NP95, author = {Nebe, G. and Plesken, W.}, title = {Finite rational matrix groups of degree 16}, journal = {Mem. Amer. Math. Soc.}, publisher = {AMS}, volume = {116}, number = {556}, year = {1995}, pages = {74{\textendash}144}, crossref = {NPbook95}, coden = {MAMCAU}, fjournal = {Memoirs of the American Mathematical Society}, issn = {0065\texttt{\symbol{45}}9266}, mrclass = {20H20 (11E57)}, mrnumber = {1265024 (95k:20081)}, mrreviewer = {V. D. Mazurov}, printedkey = {NP95} } @book{ NPbook95, author = {Nebe, G. and Plesken, W.}, title = {Finite rational matrix groups}, journal = {Mem. Amer. Math. Soc.}, publisher = {AMS}, series = {Mem. Amer. Math. Soc.}, number = {556}, year = {1995}, pages = {viii+144}, note = {vol. 116}, coden = {MAMCAU}, fjournal = {Memoirs of the American Mathematical Society}, issn = {0065\texttt{\symbol{45}}9266}, mrclass = {20H20 (11E57)}, mrnumber = {1265024 (95k:20081)}, mrreviewer = {V. D. Mazurov}, printedkey = {NP95} } @inproceedings{ NPP84, author = {Neub{\"u}ser, J. and Pahlings, H. and Plesken, W.}, editor = {Atkinson, M. D.}, booktitle = {Computational group theory (Durham, 1982)}, title = {C{AS}; design and use of a system for the handling of characters of finite groups}, publisher = {Academic Press}, address = {London}, year = {1984}, pages = {195{\textendash}247}, crossref = {Durham1982}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20\texttt{\symbol{45}}04 (20C15 20C30 68Q40)}, mrnumber = {760658 (86i:20004)}, mrreviewer = {D. Wales}, reviews = {MR 86i:20004 (D. Hales), Zbl 546.20001 (G. Butler)}, keywords = {ordinary representations; characters}, printedkey = {NPP84} } @article{ NPW81, author = {Neub{\"u}ser, J. and Plesken, W. and Wondratschek, H.}, booktitle = {Proceedings of the Conference on Kristallographische Gruppen (Univ. Bielefeld, Bielefeld, 1979), Part II}, title = {An emendatory discursion on defining crystal systems}, journal = {Match}, number = {10}, year = {1981}, pages = {77{\textendash}96}, coden = {MATCDV}, fjournal = {Match}, issn = {0340\texttt{\symbol{45}}6253}, mrclass = {20H15 (51F15 82A60)}, mrnumber = {620802 (82i:20059)}, mrreviewer = {Daniel B. Litvin}, reviews = {Zbl 551.20033 (Author)}, printedkey = {NPW81} } @inproceedings{ New77, author = {Newman, M. F.}, editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.}, booktitle = {Group theory (Proc. Miniconf., Australian Nat. Univ., Canberra, 1975)}, title = {Determination of groups of prime\texttt{\symbol{45}}power order}, publisher = {Springer}, series = {Lecture Notes in Math.}, volume = {573}, address = {Berlin}, year = {1977}, pages = {73{\textendash}84. Lecture Notes in Math., Vol. 573}, crossref = {Canberra75}, note = {Lecture Notes in Mathematics, Vol. 573}, mrclass = {20D15}, mrnumber = {0453862 (56 \#12115)}, mrreviewer = {Bruce W. King}, reviews = {MR 56 \# 12115 (Bruce W. King), Zbl no ref}, keywords = {finitely presented groups, p\texttt{\symbol{45}}groups;; nilpotent quotient; application}, printedkey = {New77} } @article{ New90, author = {Newman, M. F.}, title = {Proving a group infinite}, journal = {Arch. Math. (Basel)}, volume = {54}, number = {3}, year = {1990}, pages = {209{\textendash}211}, coden = {ACVMAL}, fjournal = {Archiv der Mathematik}, issn = {0003\texttt{\symbol{45}}889X}, mrclass = {20F05}, mrnumber = {1037607 (90j:20068)}, mrreviewer = {D. L. Johnson}, printedkey = {New90} } @inproceedings{ NO89, author = {Newman, M. F. and O'Brien, E. A.}, editor = {Cheng, K. N. and Leong, Y. K.}, booktitle = {Group theory (Singapore, 1987)}, title = {A {CAYLEY} library for the groups of order dividing {$128$}}, publisher = {de Gruyter}, address = {Berlin}, year = {1989}, pages = {437{\textendash}442}, crossref = {Singapore87}, isbn = {3\texttt{\symbol{45}}11\texttt{\symbol{45}}011366\texttt{\symbol{45}}X}, mrclass = {20\texttt{\symbol{45}}04 (20D15)}, mrnumber = {981861 (90b:20002)}, mrreviewer = {J. McKay}, printedkey = {NO89} } @mastersthesis{ Noe02, author = {Noeske, F.}, title = {{Zur Darstellungstheorie der Schurschen Erweiterungen symmetrischer Gruppen}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, year = {2002}, printedkey = {Noe02}, type = {Diplomarbeit} } @article{ OBr90, author = {O'Brien, E. A.}, title = {The {$p$}\texttt{\symbol{45}}group generation algorithm}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {677{\textendash}698}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20D15}, mrnumber = {1075431 (91j:20050)}, mrreviewer = {{\a`E}. M. Pal{\ensuremath{'}}chik}, printedkey = {O'B90} } @article{ OBr91, author = {O'Brien, E. A.}, title = {The groups of order {$256$}}, journal = {J. Algebra}, volume = {143}, number = {1}, year = {1991}, pages = {219{\textendash}235}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20D15 (20\texttt{\symbol{45}}04)}, mrnumber = {1128656 (93e:20029)}, printedkey = {O'B91} } @article{ OBr94, author = {O'Brien, E. A.}, title = {Isomorphism testing for {$p$}\texttt{\symbol{45}}groups}, journal = {J. Symbolic Comput.}, volume = {17}, number = {2}, year = {1994}, pages = {131, 133{\textendash}147}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20D15 (20D45 20F28)}, mrnumber = {1283739 (95f:20040b)}, mrreviewer = {Richard Davitt}, printedkey = {O'B94} } @inproceedings{ OBr95, author = {O'Brien, E. A.}, editor = {Bosma, W. and van der Poorten, A.}, booktitle = {Computational algebra and number theory (Sydney, 1992)}, title = {Computing automorphism groups of {$p$}\texttt{\symbol{45}}groups}, publisher = {Kluwer Acad. Publ.}, series = {Math. Appl.}, volume = {325}, address = {Dordrecht}, year = {1995}, pages = {83{\textendash}90}, mrclass = {20D15 (20D45)}, mrnumber = {1344923 (96g:20024)}, mrreviewer = {Wolfgang Lempken}, printedkey = {O'B95} } @article{ NO96, author = {Newman, M. F. and O'Brien, E. A.}, title = {Application of computers to questions like those of {B}urnside. {II}}, journal = {Internat. J. Algebra Comput.}, volume = {6}, number = {5}, year = {1996}, pages = {593{\textendash}605}, fjournal = {International Journal of Algebra and Computation}, issn = {0218\texttt{\symbol{45}}1967}, mrclass = {20\texttt{\symbol{45}}04 (20D15 20F05)}, mrnumber = {1419133 (97k:20002)}, mrreviewer = {Colin M. Campbell}, printedkey = {NO96} } @techreport{ Ost86, author = {Ostermann, T.}, title = {Charaktertafeln von {S}ylownormalisatoren sporadischer einfacher {G}ruppen}, institution = {Universit{\"a}t Essen}, publisher = {Universit{\"a}t Essen Fachbereich Mathematik}, series = {Vorlesungen aus dem Fachbereich Mathematik der Universit{\"a}t GH Essen [Lecture Notes in Mathematics at the University of Essen]}, volume = {14}, address = {Essen}, year = {1986}, pages = {x+187}, mrclass = {20\texttt{\symbol{45}}04 (20C20 20D08)}, mrnumber = {872094 (88g:20002)}, mrreviewer = {M. F. Newman}, printedkey = {Ost86} } @article{ Pah93, author = {Pahlings, H.}, title = {On the {M}{\"o}bius function of a finite group}, journal = {Arch. Math. (Basel)}, volume = {60}, number = {1}, year = {1993}, pages = {7{\textendash}14}, coden = {ACVMAL}, fjournal = {Archiv der Mathematik}, issn = {0003\texttt{\symbol{45}}889X}, mrclass = {20D30}, mrnumber = {1193087 (94c:20039)}, mrreviewer = {David Gluck}, printedkey = {Pah93} } @inproceedings{ Par84, author = {Parker, R. A.}, editor = {Atkinson, M. D.}, booktitle = {Computational group theory (Durham, 1982)}, title = {The computer calculation of modular characters (the meat\texttt{\symbol{45}}axe)}, publisher = {Academic Press}, address = {London}, year = {1984}, pages = {267{\textendash}274}, crossref = {Durham1982}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20C20 (20\texttt{\symbol{45}}04)}, mrnumber = {760660 (85k:20041)}, mrreviewer = {Leo J. Alex}, printedkey = {Par84} } @mastersthesis{ Pfe91, author = {Pfeiffer, G.}, title = {{Von Permutationscharakteren und Markentafeln}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1991}, printedkey = {Pfe91}, type = {Diplomarbeit} } @article{ Pfe94a, author = {Pfeiffer, G.}, title = {Character tables of {W}eyl groups in {GAP}}, journal = {Bayreuth. Math. Schr.}, number = {47}, year = {1994}, pages = {165{\textendash}222}, fjournal = {Bayreuther Mathematische Schriften}, issn = {0172\texttt{\symbol{45}}1062}, mrclass = {20C40 (20C15 20D06 20F40)}, mrnumber = {1285208 (95d:20027)}, mrreviewer = {Stephen A. Linton}, printedkey = {Pfe94} } @article{ Pfe94b, author = {Pfeiffer, G.}, title = {Young characters on {C}oxeter basis elements of {I}wahori\texttt{\symbol{45}}{H}ecke algebras and a {M}urnaghan\texttt{\symbol{45}}{N}akayama formula}, journal = {J. Algebra}, volume = {168}, number = {2}, year = {1994}, pages = {525{\textendash}535}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C30 (20C15 20F55)}, mrnumber = {1292779 (95g:20012)}, mrreviewer = {Arun Ram}, printedkey = {Pfe94} } @inproceedings{ Pfe96, author = {Pfeiffer, G.}, editor = {Cabanes, M.}, booktitle = {Finite reductive groups (Luminy, 1994)}, title = {Character values of {I}wahori\texttt{\symbol{45}}{H}ecke algebras of type {$B$}}, publisher = {Birkh{\"a}user Boston}, series = {Progr. Math.}, volume = {141}, address = {Boston, MA}, year = {1997}, pages = {333{\textendash}360}, crossref = {Luminy94}, note = {Related structures and representations}, isbn = {0\texttt{\symbol{45}}8176\texttt{\symbol{45}}3885\texttt{\symbol{45}}7}, mrclass = {20C15 (20F55)}, mrnumber = {1429879 (98a:20008)}, mrreviewer = {Robert B{\a'e}dard}, printedkey = {Pfe97} } @article{ Pfe97, author = {Pfeiffer, G.}, title = {The subgroups of {$M_{24}$}, or how to compute the table of marks of a finite group}, journal = {Experiment. Math.}, volume = {6}, number = {3}, year = {1997}, pages = {247{\textendash}270}, fjournal = {Experimental Mathematics}, issn = {1058\texttt{\symbol{45}}6458}, mrclass = {20D30 (20D08)}, mrnumber = {1481593 (98h:20032)}, mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev}, printedkey = {Pfe97} } @book{ Pil83, author = {Pilz, G.}, title = {Near\texttt{\symbol{45}}rings}, publisher = {North\texttt{\symbol{45}}Holland Publishing Co.}, edition = {Second}, series = {North\texttt{\symbol{45}}Holland Mathematics Studies}, volume = {23}, address = {Amsterdam}, year = {1983}, pages = {xv+470}, note = {The theory and its applications}, isbn = {0\texttt{\symbol{45}}7204\texttt{\symbol{45}}0566\texttt{\symbol{45}}1}, mrclass = {16A76 (16\texttt{\symbol{45}}02)}, mrnumber = {721171 (85h:16046)}, mrreviewer = {J. R. Clay}, printedkey = {Pil83} } @article{ Ple85, author = {Plesken, W.}, title = {Finite unimodular groups of prime degree and circulants}, journal = {J. Algebra}, volume = {97}, number = {1}, year = {1985}, pages = {286{\textendash}312}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20C10 (20G40)}, mrnumber = {812182 (87c:20020)}, mrreviewer = {Wolfgang Knapp}, printedkey = {Ple85} } @article{ Ple90, author = {Plesken, W.}, title = {Solving {$XX^{\rm tr} = A$} over the integers}, journal = {Linear Algebra Appl.}, volume = {226/228}, year = {1995}, pages = {331\texttt{\symbol{45}}\texttt{\symbol{45}}344}, coden = {LAAPAW}, fjournal = {Linear Algebra and its Applications}, issn = {0024\texttt{\symbol{45}}3795}, mrclass = {15A24}, mrnumber = {1344572 (96h:15016)}, mrreviewer = {M. C. Chaki}, printedkey = {Ple95} } @inbook{ PN95, author = {Plesken, W. and Nebe, G.}, title = {Finite rational matrix groups}, journal = {Mem. Amer. Math. Soc.}, publisher = {AMS}, volume = {116}, number = {556}, year = {1995}, pages = {1{\textendash}73}, crossref = {NPbook95}, coden = {MAMCAU}, fjournal = {Memoirs of the American Mathematical Society}, issn = {0065\texttt{\symbol{45}}9266}, mrclass = {20H20 (11E57)}, mrnumber = {1265024 (95k:20081)}, mrreviewer = {V. D. Mazurov}, printedkey = {PN95} } @article{ MR1265024, author = {Nebe, G. and Plesken, W.}, title = {Finite rational matrix groups}, journal = {Mem. Amer. Math. Soc.}, volume = {116}, number = {556}, year = {1995}, pages = {viii+144}, coden = {MAMCAU}, fjournal = {Memoirs of the American Mathematical Society}, issn = {0065\texttt{\symbol{45}}9266}, mrclass = {20H20 (11E57)}, mrnumber = {1265024 (95k:20081)}, mrreviewer = {V. D. Mazurov}, printedkey = {NP95} } @article{ PP77, author = {Plesken, W. and Pohst, M.}, title = {On maximal finite irreducible Subgroups of {GL(n,Z)}. {I}. The five and seven dimensional cases, {II}. The six dimensional case}, journal = {Math. Comp.}, volume = {31}, year = {1977}, pages = {536{\textendash}576}, reviews = {MR 56 \# 3137a, 3137b (Wolfgang Knapp), Zbl 359.20006, 359.20007 (authors)}, printedkey = {PP77} } @article{ MR0444789, author = {Plesken, W. and Pohst, M.}, title = {On maximal finite irreducible subgroups of {$GL(n, Z)$}. {I}. {T}he five and seven dimensional cases}, journal = {Math. Comp.}, volume = {31}, number = {138}, year = {1977}, pages = {536{\textendash}551}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20G05}, mrnumber = {0444789 (56 \#3137a)}, mrreviewer = {Wolfgang Knapp}, printedkey = {PP77} } @article{ MR0444790, author = {Plesken, W. and Pohst, M.}, title = {On maximal finite irreducible subgroups of {$GL(n, Z)$}. {II}. {T}he six dimensional case}, journal = {Math. Comp.}, volume = {31}, number = {138}, year = {1977}, pages = {552{\textendash}573}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20G05}, mrnumber = {0444790 (56 \#3137b)}, mrreviewer = {Wolfgang Knapp}, printedkey = {PP77} } @article{ PP80, author = {Plesken, W. and Pohst, M.}, title = {On maximal finite irreducible Subgroups of {GL(n,Z)}. {III}. The nine dimensional case, {IV}. Remarks on even dimensions with application to n = 8, {V}. The eight dimensional case and a complete description of dimensions less than ten}, journal = {Math. Comp.}, volume = {34}, year = {1980}, pages = {245{\textendash}301}, reviews = {MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang Knapp), Zbl 431.20039, 431.20040, 431.20041 (authors)}, printedkey = {PP80} } @article{ MR551303, author = {Plesken, W. and Pohst, M.}, title = {On maximal finite irreducible subgroups of {$GL(n, Z)$}. {III}. {T}he nine\texttt{\symbol{45}}dimensional case}, journal = {Math. Comp.}, volume = {34}, number = {149}, year = {1980}, pages = {245{\textendash}258}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20C10}, mrnumber = {551303 (81b:20012a)}, mrreviewer = {Wolfgang Knapp}, printedkey = {PP80} } @article{ MR551304, author = {Plesken, W. and Pohst, M.}, title = {On maximal finite irreducible subgroups of {$GL(n, Z)$}. {IV}. {R}emarks on even dimensions with applications to {$n = 8$}}, journal = {Math. Comp.}, volume = {34}, number = {149}, year = {1980}, pages = {259{\textendash}275}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20C10}, mrnumber = {551304 (81b:20012b)}, mrreviewer = {Wolfgang Knapp}, printedkey = {PP80} } @article{ MR551305, author = {Plesken, W. and Pohst, M.}, title = {On maximal finite irreducible subgroups of {$GL(n, Z)$}. {V}. {T}he eight\texttt{\symbol{45}}dimensional case and a complete description of dimensions less than ten}, journal = {Math. Comp.}, volume = {34}, number = {149}, year = {1980}, pages = {277{\textendash}301, loose microfiche suppl}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20C10}, mrnumber = {551305 (81b:20012c)}, mrreviewer = {Wolfgang Knapp}, printedkey = {PP80} } @article{ Poh87, author = {Pohst, M.}, title = {A modification of the {LLL} reduction algorithm}, journal = {J. Symbolic Comput.}, volume = {4}, number = {1}, year = {1987}, pages = {123{\textendash}127}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {11Y16 (11H06 11R27 11Y05 68Q20)}, mrnumber = {908420 (89c:11183)}, mrreviewer = {Hans G. Kopetzky}, printedkey = {Poh87} } @article{ Ram91, author = {Ram, A.}, title = {A {F}robenius formula for the characters of the {H}ecke algebras}, journal = {Invent. Math.}, volume = {106}, number = {3}, year = {1991}, pages = {461{\textendash}488}, coden = {INVMBH}, fjournal = {Inventiones Mathematicae}, issn = {0020\texttt{\symbol{45}}9910}, mrclass = {20C30 (05E05 16W30 17B37)}, mrnumber = {1134480 (93c:20029)}, mrreviewer = {Jie Du}, printedkey = {Ram91} } @manual{ Ram99a, author = {Ramsay, C.}, title = {{ACE} for {Amateurs}}, organization = {Centre for Discrete Mathematics and Computing, The University of Queensland}, year = {1999}, note = {Draft}, printedkey = {Ram99} } @manual{ Ram99, author = {Ramsay, C.}, title = {{ACE} User Manual}, address = {Department of Computer Science \& Electrical Engineering and Department of Mathematics, The University of Queensland, QLD 4072, Australia}, year = {1999}, note = {Draft}, organisation = {Centre for Discrete Mathematics and Computing}, printedkey = {Ram99} } @manual{ Rin93, author = {Ringe, M.}, title = {The {C} {M}eat{A}xe, Release 1.5}, organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1993}, printedkey = {Rin93} } @manual{ Rin98, author = {Ringe, M.}, title = {The {C} {M}eat{A}xe, Release 2.3}, organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1998}, printedkey = {Rin98} } @article{ Rob88, author = {Robertson, E. F.}, title = {Tietze transformations with weighted substring search}, journal = {J. Symbolic Comput.}, volume = {6}, number = {1}, year = {1988}, pages = {59{\textendash}64}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {68Q40 (20F05)}, mrnumber = {961370 (89h:68076)}, keywords = {finitely presented groups; simplification; Tietze transformations}, printedkey = {Rob88} } @article{ RoneyDougal02, author = {Roney\texttt{\symbol{45}}Dougal, C. M. and Unger, W. R.}, title = {The affine primitive permutation groups of degree less than 1000}, journal = {J. Symbolic Comput.}, volume = {35}, number = {4}, year = {2003}, pages = {421{\textendash}439}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20B15}, mrnumber = {1976576 (2004e:20002)}, mrreviewer = {Xianhua Li}, printedkey = {RU03} } @article{ RoneyDougal05, author = {Roney\texttt{\symbol{45}}Dougal, C. M.}, title = {The primitive permutation groups of degree less than 2500}, journal = {J. Algebra}, volume = {292}, number = {1}, year = {2005}, pages = {154{\textendash}183}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20B15}, mrnumber = {2166801 (2006e:20005)}, mrreviewer = {Michael Giudici}, printedkey = {Ron05} } @article{ Roy87, author = {Royle, G. F.}, title = {The transitive groups of degree twelve}, journal = {J. Symbolic Comput.}, volume = {4}, number = {2}, year = {1987}, pages = {255{\textendash}268}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20B05}, mrnumber = {922391 (89b:20010)}, mrreviewer = {Martin W. Liebeck}, printedkey = {Roy87} } @article{ RylandsTalor98, author = {Rylands, L. J. and Taylor, D. E.}, title = {Matrix generators for the orthogonal groups}, journal = {J. Symbolic Comput.}, volume = {25}, number = {3}, year = {1998}, pages = {351{\textendash}360}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20G40}, mrnumber = {1615330 (99d:20078)}, mrreviewer = {A. G. Earnest}, printedkey = {RT98} } @article{ Sco73, author = {Scott, L. L.}, title = {Modular permutation representations}, journal = {Trans. Amer. Math. Soc.}, volume = {175}, year = {1973}, pages = {101{\textendash}121}, fjournal = {Transactions of the American Mathematical Society}, issn = {0002\texttt{\symbol{45}}9947}, mrclass = {20C20}, mrnumber = {0310051 (46 \#9154)}, mrreviewer = {H. K. Farahat}, printedkey = {Sco73} } @article{ Sch90, author = {Schneider, G. J. A.}, title = {Dixon's character table algorithm revisited}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {601{\textendash}606}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20C40 (20\texttt{\symbol{45}}04 20C15 68Q40)}, mrnumber = {1075426 (91j:20036)}, mrreviewer = {Jamshid Moori}, printedkey = {Sch90} } @mastersthesis{ Scherner92, author = {Scherner, M.}, title = {Erweiterung einer {A}rithmetik von {K}reisteilungsk{\"o}rpern auf deren {T}eilk{\"o}rper und deren {I}mplementation in {GAP}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1992}, printedkey = {Sch92}, type = {Diplomarbeit} } @mastersthesis{ Schiffer94, author = {Schiffer, U.}, title = {Cliffordmatrizen}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1994}, printedkey = {Sch94}, type = {Diplomarbeit} } @article{ Seress98, author = {Seress, {\a'A}.}, title = {Nearly linear time algorithms for permutation groups: an interplay between theory and practice}, journal = {Acta Appl. Math.}, volume = {52}, number = {1\texttt{\symbol{45}}3}, year = {1998}, pages = {183{\textendash}207}, note = {Algebra and combinatorics: interactions and applications (K{\"o}nigstein, 1994)}, coden = {AAMADV}, fjournal = {Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications}, issn = {0167\texttt{\symbol{45}}8019}, mrclass = {20B40 (20\texttt{\symbol{45}}04 68W30)}, mrnumber = {1649697 (2000e:20008)}, mrreviewer = {Miguel {\a'A}. Borges\texttt{\symbol{45}}Trenard}, printedkey = {Ser98} } @book{ Seress2003, author = {Seress, {\a'A}.}, title = {Permutation Group Algorithms}, publisher = {Cambridge University Press}, year = {2003}, isbn = {9780511546549}, printedkey = {Ser03} } @article{ ST54, author = {Shephard, G. C. and Todd, J. A.}, title = {Finite unitary reflection groups}, journal = {Canadian J. Math.}, volume = {6}, year = {1954}, pages = {274{\textendash}304}, mrclass = {20.0X}, mrnumber = {0059914 (15,600b)}, mrreviewer = {H. S. M. Coxeter}, printedkey = {ST54} } @book{ Sho92, author = {Short, M. W.}, title = {The primitive soluble permutation groups of degree less than {$256$}}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Lecture Notes in Mathematics}, volume = {1519}, address = {Berlin}, year = {1992}, pages = {x+145}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}55501\texttt{\symbol{45}}3}, mrclass = {20B15 (20B35 20B40 20F16)}, mrnumber = {1176516 (93g:20006)}, mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev}, printedkey = {Sho92} } @inproceedings{ Sim70, author = {Sims, C. C.}, editor = {Leech, J.}, booktitle = {Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967)}, title = {Computational methods in the study of permutation groups}, publisher = {Pergamon}, series = {Proceedings of a Conference held at Oxford under the auspices of the Science Research Council, Atlas Computer Laboratory}, volume = {29}, address = {Oxford}, year = {1970}, pages = {169{\textendash}183}, crossref = {Oxford67}, notes = {RUSSIAN translation in: Computations in algebra and number theory (Russian), edited by B.{\nobreakspace}B. Venkov and D.{\nobreakspace}K. Faddeev, pp. 129{\textendash}147, Matematika, Novoie v Zarubeznoi Naukie, vol. 2, Izdat. MIR, Moscow, 1976}, mrclass = {20.20 (65.00)}, mrnumber = {0257203 (41 \#1856)}, mrreviewer = {H. Kimura}, reviews = {MR 41 \# 1856 (H. Kimura), Zbl 215, 100 (J. McKay), CR 11 \# 19,829 (G.{\nobreakspace}N. Raney)}, keywords = {permutation groups; primitive groups, classification of, stabilizer chain; Schreier Sims}, printedkey = {Sim70} } @article{ Sims90b, author = {Sims, C. C.}, title = {Computing the order of a solvable permutation group}, journal = {J. Symbolic Comput.}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {699{\textendash}705}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20B40}, mrnumber = {1075432 (91m:20011)}, mrreviewer = {Gerhard Hiss}, printedkey = {Sim90} } @book{ Sims94, author = {Sims, C. C.}, title = {Computation with finitely presented groups}, publisher = {Cambridge University Press}, series = {Encyclopedia of Mathematics and its Applications}, volume = {48}, address = {Cambridge}, year = {1994}, pages = {xiii+604}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}43213\texttt{\symbol{45}}8}, mrclass = {20F05 (20\texttt{\symbol{45}}02 68Q40 68Q42)}, mrnumber = {1267733 (95f:20053)}, mrreviewer = {Friedrich Otto}, printedkey = {Sim94} } @inproceedings{ Sims97, author = {Sims, C. C.}, editor = {K{\"u}chlin, W.}, booktitle = {Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation (Kihei, HI)}, title = {Computing with subgroups of automorphism groups of finite groups}, organization = {The Association for Computing Machinery}, publisher = {ACM}, address = {New York}, year = {1997}, pages = {400{\textendash}403 (electronic)}, crossref = {ISSAC97}, note = {Held in Kihei, HI, July 21{\textendash}23, 1997}, key = {ACM}, mrclass = {68W30 (20D45)}, mrnumber = {1810006} } @manual{ Sog89, title = {{SOGOS} \texttt{\symbol{45}} A Program System for Handling Subgroups of Finite Soluble Groups, version 5.0, User's reference manual}, organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1989}, keywords = {groups, finitely presented groups, polycyclic groups, nilpotent groups, p\texttt{\symbol{45}}groups; SOGOS, pc\texttt{\symbol{45}}presentation, ag\texttt{\symbol{45}}presentation, collection, elements, classes of conjugate elements, centralizer, normalizer, normal closure, intersection, sylow subgroups, derived subgroup, series, central series, p\texttt{\symbol{45}}central series, subgroup lattice, table of marks, complements, factor groups; nilpotent quotient (nq); manual}, printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} } @inproceedings{ Soi91, author = {Soicher, L. H.}, editor = {Finkelstein, L. and Kantor, W. M.}, booktitle = {Groups and computation (New Brunswick, NJ, 1991)}, title = {G{RAPE}: a system for computing with graphs and groups}, publisher = {Amer. Math. Soc.}, series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, volume = {11}, address = {Providence, RI}, year = {1993}, pages = {287{\textendash}291}, crossref = {DIMACS}, isbn = {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}6599\texttt{\symbol{45}}4}, mrclass = {05C85 (20B40)}, mrnumber = {1235810}, printedkey = {Soi93} } @article{ Sou94, author = {Souvignier, B.}, title = {Irreducible finite integral matrix groups of degree {$8$} and {$10$}}, journal = {Math. Comp.}, volume = {63}, number = {207}, year = {1994}, pages = {335{\textendash}350}, note = {With microfiche supplement}, coden = {MCMPAF}, fjournal = {Mathematics of Computation}, issn = {0025\texttt{\symbol{45}}5718}, mrclass = {20H15 (11E12 20C10 20C40)}, mrnumber = {1213836 (94i:20091)}, mrreviewer = {Alexander W. Mason}, printedkey = {Sou94} } @manual{ Spa89, title = {{SPAS} \texttt{\symbol{45}} {S}ubgroup {P}resentation {A}lgorithms {S}ystem, version 2.5, User's reference manual}, organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1989}, key = {SPAS}, keywords = {finitely presented groups; SPAS, subgroup presentation, simplification, low index subgroups; Todd Coxeter (tc), modified Todd Coxeter (mtc), Reidemeister Schreier (rs), reduced Reidemeister Schreier (rrs), Tietze transformations, tree decoding; manual} } @book{ Spr81, author = {Springer, T. A.}, title = {Linear algebraic groups}, publisher = {Birkh{\"a}user Boston}, series = {Progress in Mathematics}, volume = {9}, address = {Mass.}, year = {1981}, pages = {x+304}, isbn = {3\texttt{\symbol{45}}7643\texttt{\symbol{45}}3029\texttt{\symbol{45}}5}, mrclass = {20\texttt{\symbol{45}}02 (20Gxx)}, mrnumber = {632835 (84i:20002)}, printedkey = {Spr81} } @article{ Ste89, author = {Stembridge, J. R.}, title = {On the eigenvalues of representations of reflection groups and wreath products}, journal = {Pacific J. Math.}, volume = {140}, number = {2}, year = {1989}, pages = {353{\textendash}396}, coden = {PJMAAI}, fjournal = {Pacific Journal of Mathematics}, issn = {0030\texttt{\symbol{45}}8730}, mrclass = {20C30 (20C15)}, mrnumber = {1023791 (91a:20022)}, mrreviewer = {A. Kerber}, printedkey = {Ste89} } @article{ Tay87, author = {Taylor, D. E.}, title = {Pairs of Generators for Matrix Groups. {I}}, journal = {The Cayley Bulletin}, volume = {3}, year = {1987}, url = {https://arxiv.org/abs/2201.09155}, printedkey = {Tay87} } @mastersthesis{ Theissen93, author = {Thei{\ss}en, H.}, title = {{Methoden zur Bestimmung der rationalen Konjugiertheit in endlichen Gruppen}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1993}, printedkey = {The93}, type = {Diplomarbeit} } @phdthesis{ Theissen97, author = {Thei{\ss}en, H.}, title = {{Eine Methode zur Normalisatorberechnung in Permutationsgruppen mit Anwendungen in der Konstruktion primitiver Gruppen}}, school = {Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1997}, printedkey = {The97}, type = {Dissertation} } @mastersthesis{ Thi87, author = {Thiemann, P.}, title = {{SOGOS} {III} \texttt{\symbol{45}} {C}haraktere und {E}ffizienzuntersuchung}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1987}, printedkey = {Thi87}, type = {Diplomarbeit} } @incollection{ Tho86, author = {Thompson, J. G.}, booktitle = {Group theory, {B}eijing 1984}, title = {Some finite groups which appear as {${\rm Gal}\,L/K,$} where {$K\subseteq {\bf Q}(\mu_n)$}}, publisher = {Springer, Berlin}, series = {Lecture Notes in Math.}, volume = {1185}, year = {1986}, pages = {210{\textendash}230}, crossref = {Beijing84}, mrclass = {11R32 (12F10 20C99)}, mrnumber = {842445}, mrreviewer = {Richard Massy}, url = {https://doi.org/10.1007/BFb0076176}, doi = {10.1007/BFb0076176}, printedkey = {Tho86} } @inproceedings{ VL84, author = {Vaughan\texttt{\symbol{45}}Lee, M. R.}, editor = {Atkinson, M. D.}, booktitle = {Computational group theory (Durham, 1982)}, title = {An aspect of the nilpotent quotient algorithm}, publisher = {Academic Press}, address = {London}, year = {1984}, pages = {75{\textendash}83}, crossref = {Durham1982}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20F05 (20\texttt{\symbol{45}}04 20D15 68Q40)}, mrnumber = {760652 (86b:20040)}, mrreviewer = {M. F. Newman}, printedkey = {Vau84} } @article{ VL90a, author = {Vaughan\texttt{\symbol{45}}Lee, M. R.}, title = {Collection from the left}, journal = {J. Symbolic Comput.}, publisher = {Academic Press}, volume = {9}, number = {5\texttt{\symbol{45}}6}, year = {1990}, pages = {725{\textendash}733}, note = {Computational group theory, Part 1}, fjournal = {Journal of Symbolic Computation}, issn = {0747\texttt{\symbol{45}}7171}, mrclass = {20F12 (20\texttt{\symbol{45}}04 20D15 20F18)}, mrnumber = {1075434 (92c:20065)}, mrreviewer = {M. Greendlinger}, printedkey = {Vau90} } @book{ VL90b, author = {Vaughan\texttt{\symbol{45}}Lee, M.}, title = {The restricted {B}urnside problem}, publisher = {The Clarendon Press Oxford University Press}, series = {London Mathematical Society Monographs. New Series}, volume = {5}, address = {New York}, year = {1990}, pages = {xiv+209}, note = {, Oxford Science Publications}, isbn = {0\texttt{\symbol{45}}19\texttt{\symbol{45}}853573\texttt{\symbol{45}}2}, mrclass = {20\texttt{\symbol{45}}02 (20F12 20F40 20F45 20F50)}, mrnumber = {1057610 (92c:20001)}, mrreviewer = {Norman Blackburn}, printedkey = {Vau90} } @article{ vdW76, author = {van der Waall, R. W.}, title = {On symplectic primitive modules and monomial groups}, journal = {Nederl. Akad. Wetensch. Proc. Ser. A 79, Indag. Math.}, volume = {38}, number = {4}, year = {1976}, pages = {362{\textendash}375}, mrclass = {20D10}, mrnumber = {0424931 (54 \#12889)}, mrreviewer = {T. R. Berger}, printedkey = {vdW76} } @article{ Wagon90, author = {Wagon, S.}, title = {Editor's corner: the {E}uclidean algorithm strikes again}, journal = {Amer. Math. Monthly}, volume = {97}, number = {2}, year = {1990}, pages = {125{\textendash}129}, coden = {AMMYAE}, fjournal = {The American Mathematical Monthly}, issn = {0002\texttt{\symbol{45}}9890}, mrclass = {11E25 (11Y50)}, mrnumber = {1041889 (91b:11039)}, mrreviewer = {K. S. Williams}, printedkey = {Wag90} } @techreport{ wielandt69, author = {Wielandt, H.}, title = {Permutation groups through invariant relations and invariant functions}, institution = {Department of Mathematics, The Ohio State University}, year = {1969}, printedkey = {Wie69}, type = {Lecture Notes} } @misc{ AGR, author = {Wilson, R. A. and Walsh, P. and Tripp, J. and Suleiman, I. and Parker, R. A. and Norton, S. P. and Nickerson, S. and Linton, S. and Bray, J. and Abbott, R.}, title = {{ATLAS of Finite Group Representations}}, howpublished = {\href {http://brauer.maths.qmul.ac.uk/Atlas/} {\texttt{http://brauer.maths.qmul.ac.uk/}\discretionary {}{}{}\texttt{Atlas/}}}, key = {ATLAS} } @article{ BSW01, author = {Bray, J. N. and Suleiman, I. A. I. and Walsh, P. G. and Wilson, R. A.}, title = {Generating maximal subgroups of sporadic simple groups}, journal = {Comm. Algebra}, volume = {29}, number = {3}, year = {2001}, pages = {1325{\textendash}1337}, coden = {COALDM}, fjournal = {Communications in Algebra}, issn = {0092\texttt{\symbol{45}}7872}, mrclass = {20D08}, mrnumber = {1842416 (2002e:20032)}, mrreviewer = {Hiroyoshi Yamaki}, printedkey = {BSWW01} } @article{ Wil96, author = {Wilson, R. A.}, title = {Standard generators for sporadic simple groups}, journal = {J. Algebra}, volume = {184}, number = {2}, year = {1996}, pages = {505{\textendash}515}, coden = {JALGA4}, fjournal = {Journal of Algebra}, issn = {0021\texttt{\symbol{45}}8693}, mrclass = {20D08}, mrnumber = {1409225 (98e:20025)}, printedkey = {Wil96} } @incollection{ Won95, author = {Wondratschek, H.}, editor = {Hahn, T.}, booktitle = {International Tables for Crystallography, {V}ol. {A}}, title = {Introduction to space\texttt{\symbol{45}}group symmetry}, publisher = {Kluwer, Dordrecht}, edition = {4th}, year = {1995}, pages = {711{\textendash}735}, crossref = {Hah95}, note = {Space\texttt{\symbol{45}}group symmetry}, printedkey = {Won95} } @manual{ Wur93, author = {Wursthorn, M.}, title = {{SISYPHOS} Computing in modular group algebras, Version 0.5}, organization = {Math. Inst. B, 3. Lehrstuhl}, address = {Universit{\"a}t Stuttgart}, year = {1993}, printedkey = {Wur93} } @article{ Zagier90, author = {Zagier, D.}, title = {A one\texttt{\symbol{45}}sentence proof that every prime {$p \equiv 1 \pmod 4$} is a sum of two squares}, journal = {Amer. Math. Monthly}, volume = {97}, number = {2}, year = {1990}, pages = {144}, coden = {AMMYAE}, fjournal = {The American Mathematical Monthly}, issn = {0002\texttt{\symbol{45}}9890}, mrclass = {11E25}, mrnumber = {1041893 (91b:11040)}, mrreviewer = {K. S. Williams}, printedkey = {Zag90} } @mastersthesis{ Zum89, author = {Zumbroich, M.}, title = {{Grundlagen} einer {Arithmetik} in {Kreisteilungsk{\"o}rpern} und ihre {Implementation} in {CAS}}, school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch Westf{\"a}lische Technische Hochschule}, address = {Aachen, Germany}, year = {1989}, printedkey = {Zum89}, type = {Diplomarbeit} } @proceedings{ Oxford67, editor = {Leech, J.}, booktitle = {Computational Problems in Abstract Algebra, Proc. Conf. Oxford, 1967}, title = {Computational problems in abstract algebra}, publisher = {Pergamon Press}, series = {Proceedings of a Conference held at Oxford under the auspices of the Science Research Council, Atlas Computer Laboratory}, volume = {29}, address = {Oxford}, year = {1970}, pages = {x+402}, mrclass = {00.04 (10.00)}, mrnumber = {0252149 (40 \#5374)}, reviews = {MR 40\#5374, Zbl 186.299}, printedkey = {Lee70} } @proceedings{ Canberra73, editor = {Newman, M. F.}, booktitle = {Proceedings of the Second International Conference on the Theory of Groups, Canberra, 1973}, title = {Proceedings of the {S}econd {I}nternational {C}onference on the {T}heory of {G}roups}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Lecture Notes in Math.}, volume = {372}, address = {Berlin}, year = {1974}, pages = {vii+740}, note = {Held at the Australian National University, Canberra, August 13{\textendash}24, 1973, With an introduction by B. H. Neumann, Lecture Notes in Mathematics, Vol. 372}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {0344315 (49 \#9054)}, reviews = {MR 49\#9054, Zbl 282.00012}, printedkey = {New74} } @proceedings{ Canberra75, editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.}, booktitle = {Group theory, Proc. Miniconf., Austral. Nat. Univ., Canberra, 1975}, title = {Group theory}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Lecture Notes in Math.}, volume = {573}, address = {Berlin}, year = {1977}, pages = {v+146}, note = {Lecture Notes in Mathematics, Vol. 573}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {0430032 (55 \#3040)}, reviews = {MR 55\#3040, Zbl 342.00008}, printedkey = {BCN77} } @proceedings{ Bielefeld77, editor = {Mennicke, J. L.}, booktitle = {Proceedings of a Workshop held at the University of Bielefeld, Bielefeld, June{\textendash}July 1977}, title = {Burnside groups}, publisher = {Springer}, series = {Lecture Notes in Mathematics}, volume = {806}, address = {Berlin}, year = {1980}, pages = {ii+274}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}10006\texttt{\symbol{45}}7}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {586041 (81j:20002)}, reviews = {MR 81j:20002, Zbl 424.00008}, printedkey = {Men80} } @proceedings{ EUROSAM79, editor = {Ng, E. W.}, title = {Symbolic and algebraic computation}, publisher = {Springer\texttt{\symbol{45}}Verlag}, series = {Lecture Notes in Computer Science}, volume = {72}, address = {Berlin}, year = {1979}, pages = {xv+557}, note = {EUROSAM '79, an International Symposium held in Marseille, June 1979}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}09519\texttt{\symbol{45}}5}, mrclass = {68\texttt{\symbol{45}}06 (68C20)}, mrnumber = {575677 (81d:68005)}, printedkey = {Ng79} } @proceedings{ Durham1982, editor = {Atkinson, M. D.}, booktitle = {Proceedings of the London Mathematical Society symposium held in Durham, July 30{\textendash}August 9, 1982}, title = {Computational group theory}, publisher = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]}, address = {London}, year = {1984}, pages = {xii+375}, isbn = {0\texttt{\symbol{45}}12\texttt{\symbol{45}}066270\texttt{\symbol{45}}1}, mrclass = {20\texttt{\symbol{45}}06 (68\texttt{\symbol{45}}06)}, mrnumber = {760641 (85g:20001)}, printedkey = {Atk84} } @proceedings{ GrpsStAndrews81, editor = {Campbell, C. M. and Robertson, E. F.}, booktitle = {Proceedings of the International Conference on Groups held at the Mathematical Institute, University of St Andrews, St. Andrews, July 25{\textendash}August 8, 1981}, title = {Groups{\textendash}{S}t. {A}ndrews 1981}, publisher = {Cambridge University Press}, series = {London Mathematical Society Lecture Note Series}, volume = {71}, address = {Cambridge}, year = {1982}, pages = {viii+360}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}28974\texttt{\symbol{45}}2}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {679152 (83j:20005)}, printedkey = {CR82} } @proceedings{ Beijing84, editor = {Tuan, H.\texttt{\symbol{45}}F.}, booktitle = {Proceedings of an international symposium held at Beijing University, Beijing, August 27{\textendash}September 8, 1984}, title = {Group theory, {B}eijing 1984}, publisher = {Springer\texttt{\symbol{45}}Verlag, Berlin}, series = {Lecture Notes in Mathematics}, volume = {1185}, year = {1986}, pages = {vi+403}, isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}16456\texttt{\symbol{45}}1}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {842438}, url = {https://doi.org/10.1007/BFb0076169}, doi = {10.1007/BFb0076169}, printedkey = {Tua86} } @proceedings{ Singapore87, editor = {Cheng, K. N. and Leong, Y. K.}, booktitle = {Proceedings of the Singapore Group Theory Conference held at the National University of Singapore, Singapore, June 8{\textendash}19, 1987}, title = {Group theory}, publisher = {Walter de Gruyter \& Co.}, address = {Berlin}, year = {1989}, pages = {xviii + 586}, isbn = {3\texttt{\symbol{45}}11\texttt{\symbol{45}}011366\texttt{\symbol{45}}X}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {981831 (89j:20001)}, printedkey = {CL89} } @proceedings{ MR91, editor = {Michler, G. O. and Ringel, C. M.}, booktitle = {Proceedings of the conference held at the University of Bielefeld, Bielefeld, May 15{\textendash}17, 1991}, title = {Representation theory of finite groups and finite\texttt{\symbol{45}}dimensional algebras}, publisher = {Birkh{\"a}user Verlag}, series = {Progress in Mathematics}, volume = {95}, address = {Basel}, year = {1991}, pages = {x+520}, isbn = {3\texttt{\symbol{45}}7643\texttt{\symbol{45}}2604\texttt{\symbol{45}}2}, mrclass = {20\texttt{\symbol{45}}06 (00B25 16\texttt{\symbol{45}}06 20Cxx)}, mrnumber = {1112154 (91m:20005)}, printedkey = {MR91} } @proceedings{ ISSAC91, booktitle = {Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991}, title = {Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991}, publisher = {ACM Press}, year = {1991}, printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} } @proceedings{ ISSAC97, editor = {K{\"u}chlin, W.}, title = {Proceedings of the 1997 {I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation}, organization = {The Association for Computing Machinery}, publisher = {Association for Computing Machinery (ACM)}, address = {New York}, year = {1997}, pages = {electronic}, note = {Held in Kihei, HI, July 21{\textendash}23, 1997}, key = {ACM}, mrclass = {68\texttt{\symbol{45}}06 (65\texttt{\symbol{45}}06 68W30)}, mrnumber = {1809584 (2001i:68010)} } @proceedings{ MR1805195, editor = {Gloor, O.}, title = {Proceedings of the 1998 {I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation}, organization = {The Association for Computing Machinery}, publisher = {Association for Computing Machinery (ACM)}, address = {New York}, year = {1998}, pages = {front matter+321 pp. (electronic)}, note = {Held in Rostock, August 13{\textendash}15, 1998}, key = {ACM}, mrclass = {68\texttt{\symbol{45}}06 (00B25 68W30)}, mrnumber = {1805195 (2001m:68004)} } @proceedings{ DIMACS, editor = {Finkelstein, L. and Kantor, W. M.}, booktitle = {Proceedings of the DIMACS Workshop held at Rutgers University, New Brunswick, New Jersey, October 7{\textendash}10, 1991}, title = {Groups and computation}, publisher = {American Mathematical Society}, series = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 11}, address = {Providence, RI}, year = {1993}, pages = {xx+313}, isbn = {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}6599\texttt{\symbol{45}}4}, mrclass = {20\texttt{\symbol{45}}06 (20B40)}, mrnumber = {1235790 (94c:20003)}, printedkey = {FK93} } @proceedings{ DIMACS2, editor = {Finkelstein, L. and Kantor, W. M.}, booktitle = {Proceedings of the 2nd DIMACS Workshop held at Rutgers University, New Brunswick, NJ, June 7{\textendash}10, 1995}, title = {Groups and computation. {II}}, publisher = {American Mathematical Society}, series = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 28}, address = {Providence, RI}, year = {1997}, pages = {xviii+382}, isbn = {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}0516\texttt{\symbol{45}}9}, mrclass = {20\texttt{\symbol{45}}06 (68\texttt{\symbol{45}}06)}, mrnumber = {1444126 (97m:20003)}, printedkey = {FK97} } @proceedings{ DIMACS3, editor = {Kantor, W. M. and Seress, {\a'A}.}, booktitle = {Proceedings of the 3rd International Conference held at The Ohio State University, Columbus, OH, June 15{\textendash}19, 1999}, title = {Groups and computation. {III}}, publisher = {Walter de Gruyter \& Co.}, series = {Ohio State University Mathematical Research Institute Publications, 8}, address = {Berlin}, year = {2001}, pages = {viii+368}, isbn = {3\texttt{\symbol{45}}11\texttt{\symbol{45}}016721\texttt{\symbol{45}}2}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {1829467 (2002d:20003)}, printedkey = {KS01} } @proceedings{ DIMACS94, editor = {Baumslag, G. and Epstein, D. and Gilman, R. and Short, H. and Sims, C.}, booktitle = {Proceedings of the Joint DIMACS/Geometry Center Workshop held at the University of Minnesota, Minneapolis, Minnesota, January 3{\textendash}14, 1994 and Rutgers University, New Brunswick, New Jersey, March 17{\textendash}20, 1994}, title = {Geometric and computational perspectives on infinite groups}, publisher = {American Mathematical Society}, series = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 25}, address = {Providence, RI}, year = {1996}, pages = {xvi+212}, isbn = {0\texttt{\symbol{45}}8218\texttt{\symbol{45}}0449\texttt{\symbol{45}}9}, mrclass = {20F32 (20\texttt{\symbol{45}}06)}, mrnumber = {1364175 (96g:20055)}, printedkey = {BEGSS96} } @proceedings{ Groups93Vol1, editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F. and Tobin, S. J. and Ward, J. J.}, booktitle = {Proceedings of the International Conference held at University College, Galway, August 1{\textendash}14, 1993}, title = {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 1}, publisher = {Cambridge University Press}, series = {London Mathematical Society Lecture Note Series}, volume = {211}, address = {Cambridge}, year = {1995}, pages = {xii+304}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}47749\texttt{\symbol{45}}2}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {1342775 (96b:20001a)}, printedkey = {CHRTW95} } @proceedings{ Groups93Vol2, editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F. and Tobin, S. J. and Ward, J. J.}, booktitle = {Proceedings of the International Conference held at University College, Galway, August 1{\textendash}14, 1993}, title = {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 2}, publisher = {Cambridge University Press}, series = {London Mathematical Society Lecture Note Series}, volume = {212}, address = {Cambridge}, year = {1995}, pages = {i{\textendash}xii and 305{\textendash}609}, isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}47750\texttt{\symbol{45}}6}, mrclass = {20\texttt{\symbol{45}}06}, mrnumber = {1337278 (96b:20001b)}, printedkey = {CHRTW95} } @proceedings{ Luminy94, editor = {Cabanes, M.}, booktitle = {Proceedings of the International Conference held in Luminy, October 3{\textendash}7, 1994}, title = {Finite reductive groups}, publisher = {Birkh{\"a}user Boston Inc.}, series = {Progress in Mathematics}, volume = {141}, address = {Boston, MA}, year = {1997}, pages = {xii+452}, note = {Related structures and representations}, isbn = {0\texttt{\symbol{45}}8176\texttt{\symbol{45}}3885\texttt{\symbol{45}}7}, mrclass = {20\texttt{\symbol{45}}06 (20G40)}, mrnumber = {1429866 (97i:20001)}, printedkey = {Cab97} } @proceedings{ ISSAC98, booktitle = {ISSAC '98: Proceedings of the 1998 international symposium on Symbolic and algebraic computation}, title = {ISSAC '98: Proceedings of the 1998 international symposium on Symbolic and algebraic computation}, organization = {ACM}, publisher = {ACM Press}, address = {New York, NY, USA}, year = {1998}, note = {Chairman: Volker Weispfenning and Barry Trager}, isbn = {1\texttt{\symbol{45}}58113\texttt{\symbol{45}}002\texttt{\symbol{45}}3}, location = {Rostock, Germany}, source = {ACM Order No.: 505980, ACM member price \$25}, printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} } @article{ MR1820589, author = {Schur, J.}, title = {On the representation of the symmetric and alternating groups by fractional linear substitutions}, journal = {Internat. J. Theoret. Phys.}, volume = {40}, number = {1}, year = {2001}, pages = {413{\textendash}458}, note = {Translated from the German [J. Reine Angew. Math. 139 (1911), 155{\textendash}250] by Marc\texttt{\symbol{45}}Felix Otto}, coden = {IJTPBM}, fjournal = {International Journal of Theoretical Physics}, issn = {0020\texttt{\symbol{45}}7748}, mrclass = {20C25 (05E05 20C30)}, mrnumber = {1820589 (2003a:20016)}, mrreviewer = {Tadeusz J{\a'o}zefiak}, url = {https://doi.org/10.1023/A:1003772419522}, doi = {10.1023/A:1003772419522}, printedkey = {Sch01} } @article{ Schur1911, author = {Schur, J.}, title = {{\"U}ber die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen}, journal = {Journal f{\"u}r die reine und angewandte Mathematik}, volume = {139}, year = {1911}, pages = {155{\textendash}250}, url = {http://www.digizeitschriften.de/resolveppn/GDZPPN002167298}, jfm = {42.0154.02}, printedkey = {Sch11} } @article{ Maas2010, author = {Maas, L.}, title = {On a construction of the basic spin representations of symmetric groups}, journal = {Communications in Algebra}, volume = {38}, year = {2010}, pages = {4545{\textendash}4552}, url = {https://arxiv.org/abs/0911.3794}, doi = {10.1080/00927872.2010.490541}, printedkey = {Maa10} } @article{ BLS1975, author = {Brillhart, J. and Lehmer, D. and Selfridge, J.}, title = {New primality criteria and factorizations of $2^m \pm 1$}, journal = {Mathematics of Computation}, volume = {29}, year = {1975}, pages = {620{\textendash}647}, url = {https://doi.org/10.2307/2005583}, doi = {10.2307/2005583}, printedkey = {BLS75} } @book{ BHRD2013, author = {Bray, J. N. and Holt, D. F. and Roney\texttt{\symbol{45}}Dougal, C. M.}, title = {The maximal subgroups of the low\texttt{\symbol{45}}dimensional finite classical groups}, publisher = {Cambridge University Press}, series = {London Mathematical Society Lecture Note Series}, volume = {407}, address = {Cambridge}, year = {2013}, pages = {xiv+438}, isbn = {978\texttt{\symbol{45}}0\texttt{\symbol{45}}521\texttt{\symbol{45}}13860\t mrclass = {20G40 (20E28)}, mrnumber = {3098485}, mrreviewer = {Nadia P. Mazza}, doi = {10.1017/CBO9781139192576}, printedkey = {BHR13} } @book{ Tay92, author = {Taylor, D. E.}, title = {The geometry of the classical groups}, publisher = {Heldermann Verlag, Berlin}, series = {Sigma Series in Pure Mathematics}, volume = {9}, year = {1992}, pages = {xii+229}, isbn = {3\texttt{\symbol{45}}88538\texttt{\symbol{45}}009\texttt{\symbol{45}}9}, mrclass = {20E32 (20E34 20E42 20G40 51E24)}, mrnumber = {1189139}, mrreviewer = {Gernot Stroth}, printedkey = {Tay92} }
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