@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. {\bf336} (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. \bf449, 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. \bf449, 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}}0020D06 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}
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@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}
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@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}
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@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}
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@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}
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@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 {$\leq50$}}, 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}
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@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}
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@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)},
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@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}}0420B99)},
mrnumber = {818875 (87b:68057)}, keywords = {permutation groups; homomorphisms},
printedkey = {But85}
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@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}
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@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}}0220C15)},
mrnumber = {794307 (87d:20060)},
mrreviewer = {David B. Surowski},
printedkey = {Car85}
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@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}}0220G40)},
mrnumber = {1266626 (94k:20020)},
printedkey = {Car93}
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@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}
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@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}
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@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)},
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@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}
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@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}
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@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}
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@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}
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@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}}0114Qxx 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}
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@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}
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@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}
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@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},
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@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}}0268Q70)},
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}}0168\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 {$2^{n} (n \leq6)$}}, 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}}0468Q40)},
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},
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@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},
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@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},
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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},
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mrnumber = {1066460 (92h:20002)},
mrreviewer = {Louis Solomon},
printedkey = {Hum90}
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@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}
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@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)},
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@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}
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@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},
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@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 {\bf165} (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}
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@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 {\bf165} (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)},
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@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}
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@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}}0020D06 20D08)},
mrnumber = {1367961 (96k:20016)},
mrreviewer = {J. L. Alperin},
printedkey = {JLPW95}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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, Volume2:
{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}
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@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}
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@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}}0420D15 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}
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@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}
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@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}
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@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}
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@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 = {Article5, 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} $\leq100$ 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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}
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@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}}0420C15 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}}0468W30)},
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}}0268Q40 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}}0420D15 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}}0420D15 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 {$p \equiv1\pmod4$} 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}
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@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}
}
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Conf. Oxford, 1967}, title = {Computational problems in abstract algebra}, publisher = {Pergamon Press},
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auspices of the Science Research Council, Atlas
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mrclass = {00.04 (10.00)},
mrnumber = {0252149 (40\#5374)},
reviews = {MR 40\#5374, Zbl 186.299},
printedkey = {Lee70}
}
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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},
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reviews = {MR 49\#9054, Zbl 282.00012},
printedkey = {New74}
}
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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},
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}
@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}
}
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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},
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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},
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printedkey = {CR82}
}
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isbn = {3\texttt{\symbol{45}}540\texttt{\symbol{45}}16456\texttt{\symbol{45}}1},
mrclass = {20\texttt{\symbol{45}}06},
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url = {https://doi.org/10.1007/BFb0076169},
doi = {10.1007/BFb0076169},
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}
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mrclass = {20\texttt{\symbol{45}}06},
mrnumber = {981831 (89j:20001)},
printedkey = {CL89}
}
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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}}0620Cxx)},
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},
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}
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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)}
}
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organization = {The Association for Computing Machinery}, publisher = {Association for Computing Machinery (ACM)}, address = {New York}, year = {1998}, pages = {front matter+321 pp. (electronic)},
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key = {ACM},
mrclass = {68\texttt{\symbol{45}}06 (00B25 68W30)},
mrnumber = {1805195 (2001m:68004)}
}
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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}
}
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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}
}
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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}
}
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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
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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}
}
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and Tobin, S. J. and Ward, J. J.}, booktitle = {Proceedings of the International Conference held at
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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}
}
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and Tobin, S. J. and Ward, J. J.}, booktitle = {Proceedings of the International Conference held at
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isbn = {0\texttt{\symbol{45}}521\texttt{\symbol{45}}47750\texttt{\symbol{45}}6},
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mrnumber = {1337278 (96b:20001b)},
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}
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Luminy, October 3{\textendash}7, 1994}, title = {Finite reductive groups}, publisher = {Birkh{\"a}user Boston Inc.},
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note = {Related structures and representations},
isbn = {0\texttt{\symbol{45}}8176\texttt{\symbol{45}}3885\texttt{\symbol{45}}7},
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mrnumber = {1429866 (97i:20001)},
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}
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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},
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}
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(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},
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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},
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isbn = {978\texttt{\symbol{45}}0\texttt{\symbol{45}}521\texttt{\symbol{45}}13860\texttt{\symbol{45}}4},
mrclass = {20G40 (20E28)},
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doi = {10.1017/CBO9781139192576},
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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},
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printedkey = {Tay92}
}
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