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href="chap1.html" >1 </a> <a href="chap2.html" >2 </a> <a href="chap3.html" >3 </a> <a href="chap4.html" >4 </a> <a href="chap5.html" >5 </a> <a href="chap6.html" >6 </a> <a href="chap7.html" >7 </a> <a href="chapA.html" >A</a> <a href="chapBib.html" >Bib</a> <a href="chapInd.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap0_mj.html" >[MathJax on]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >ANUPQ</h1 >3 .3 .2 </p>28 August 2025 div >strong class="pkg" >ANUPQ</strong > is maintained by <span class="URL" ><a href="mailto:mhorn@rptu.de" >Max Horn</a></span >.span class="URL" ><a href="https" >our issue tracker</a></span >.br />Email: <span class="URL" ><a href="mailto:Greg.Gamble@uwa.edu.au" >Greg.Gamble@uwa.edu.au</a></span >br />Address : <br />Department of Mathematics and Statistics<br /> Curtin University<br /> GPO Box U 1987 <br /> Perth WA 6845 <br /> Australia<br />'Brien br />Email: <span class="URL" ><a href="mailto:obrien@math.auckland.ac.nz" >obrien@math.auckland.ac.nz</a></span >br />Homepage: <span class="URL" ><a href="https://www.math.auckland.ac.nz/~obrien " >https://www.math.auckland.ac.nz/~obrien</a></span >br />Address : <br />Department of Mathematics<br /> University of Auckland<br /> Private Bag 92019 <br /> Auckland<br /> New Zealand<br />"X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>2001 -2016 by Greg Gamble</p>2001 -2005 by Werner Nickel</p>1995 -2001 by Eamon O'Brien</p> strong class="pkg" >GAP</strong > package <strong class="pkg" >ANUPQ</strong > is licensed under the <span class="URL" ><a href="https://opensource.org/licenses/artistic-license-2.0 " >Artistic License 2 .0 </a></span >.</p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1.html#X7DFB63A97E67C0A1" >1 <span class="Heading" >Introduction</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X8389AD927B74BA4A" >1 .1 <span class="Heading" >Overview</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X8416D2657E7831A1" >1 .2 <span class="Heading" >How to read this manual</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X79D2480A7810A7CC" >1 .3 <span class="Heading" >Authors and Acknowledgements</span ></a>span >div >div >div class="ContChap" ><a href="chap2.html#X7E7F3B617F42EF03" >2 <span class="Heading" >Mathematical Background and Terminology</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X79A052C47C92AF09" >2 .1 <span class="Heading" >Basic notions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7BD675838609D547" >2 .1 -1 <span class="Heading" >pc Presentations and Consistency</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7944DB037F2277A6" >2 .1 -2 <span class="Heading" >Exponent-<span class="SimpleMath" >p</span > Central Series and Weighted pc Presentations</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7C43ACA37D391EBD" >2 .1 -3 <span class="Heading" ><span class="SimpleMath" >p</span >-Cover, <span class="SimpleMath" >p</span >-Multiplicator</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X801A27A08462AFAB" >2 .1 -4 <span class="Heading" >Descendants, Capable, Terminal, Nucleus</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X81FBE7ED79EFF5EF" >2 .1 -5 <span class="Heading" >Laws</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7C8CE96D80FC3614" >2 .2 <span class="Heading" >The p-quotient Algorithm</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X791EB6F77899CB3D" >2 .2 -1 <span class="Heading" >Finding the <span class="SimpleMath" >p</span >-cover</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X804CF5C97F7BB880" >2 .2 -2 <span class="Heading" >Imposing the Relations of the fp Group</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7F1A8CCD84462775" >2 .2 -3 <span class="Heading" >Imposing Laws</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X807FB2EC85E6648D" >2 .3 <span class="Heading" >The p-group generation Algorithm, Standard Presentation, span ></a>span >div >div >div class="ContChap" ><a href="chap3.html#X7917EFDF7AC06F04" >3 <span class="Heading" >Infrastructure</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X833D58248067E13B" >3 .1 <span class="Heading" >Loading the ANUPQ Package</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X83DE155A79C38DBE" >3 .2 <span class="Heading" >The ANUPQData Record</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7B90E89782BDA6D7" >3 .2 -1 ANUPQData</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7FBB2F457E4BD6AB" >3 .2 -2 ANUPQDirectoryTemporary</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X83E5C7CF7D8739DF" >3 .3 <span class="Heading" >Setting the Verbosity of ANUPQ via Info and InfoANUPQ</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7CBC9B458497BFF1" >3 .3 -1 InfoANUPQ</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X810FFB1C8035C8BE" >3 .4 <span class="Heading" >Utility Functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8771393B7F53F534" >3 .4 -1 PqLeftNormComm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7A567432879510A6" >3 .4 -2 PqGAPRelators</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7F3C5D1C7EC36EAE" >3 .4 -3 PqParseWord</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7BB0EB607F337265" >3 .4 -4 PqExample</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X823C93FC7B87F5BC" >3 .4 -5 AllPqExamples</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7E3E4B047DC2E323" >3 .4 -6 GrepPqExamples</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8104B2BA872EFCCB" >3 .4 -7 ToPQLog</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X818175EF85CAA807" >3 .5 <span class="Heading" >Attributes and a Property for fp and pc p-groups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X87DC922A78EB0DD6" >3 .5 -1 NuclearRank</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X7BA20FA07B166B37" >3 .6 <span class="Heading" >Hints and Warnings regarding the use of Options</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X81F4AAE084C34B4B" >3 .6 -1 ANUPQWarnOfOtherOptions</a></span >div ></div >div >div class="ContChap" ><a href="chap4.html#X7C51F26D839279FF" >4 <span class="Heading" >Non-interactive ANUPQ functions</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X80406BD47EB186E9" >4 .1 <span class="Heading" >Computing p-Quotients</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X86DD32D5803CF2C8" >4 .1 -1 Pq</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7ADE5DDB87B99CC0" >4 .1 -2 PqEpimorphism</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X81C3CE1E850DA252" >4 .1 -3 PqPCover</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X7F05F8DC79733A8E" >4 .2 <span class="Heading" >Computing Standard Presentations</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X86C9575D7CB65FBB" >4 .2 -1 PqStandardPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X828C06D083C0D089" >4 .2 -2 EpimorphismPqStandardPresentation</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X8030FAE586423615" >4 .3 <span class="Heading" >Testing p-Groups for Isomorphism</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X854389FC780BB178" >4 .3 -1 IsPqIsomorphicPGroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X8450C72580D91245" >4 .4 <span class="Heading" >Computing Descendants of a p-Group</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X80985CC479CD9FA3" >4 .4 -1 PqDescendants</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X8364566A80A8C24B" >4 .4 -2 PqSupplementInnerAutomorphisms</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X79AD54E987FCACBA" >4 .4 -3 PqList</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X85ADB9E6870EC3D1" >4 .4 -4 SavePqList</a></span >div ></div >div >div class="ContChap" ><a href="chap5.html#X842C13C27B941744" >5 <span class="Heading" >Interactive ANUPQ functions</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X7935CDAD7936CA0A" >5 .1 <span class="Heading" >Starting and Stopping Interactive ANUPQ Processes</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X83B2EC237F37623C" >5 .1 -1 PqStart</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X79DB761185BAB9C8" >5 .1 -2 PqQuit</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7FF8F2657B1B008E" >5 .1 -3 PqQuitAll</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X7EE8000A800CEE2D" >5 .2 <span class="Heading" >Interactive ANUPQ Process Utility Functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X8558B20A80B999AE" >5 .2 -1 PqProcessIndex</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7E4A56D67C865291" >5 .2 -2 PqProcessIndices</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7C103DF78435AEC7" >5 .2 -3 IsPqProcessAlive</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X823D2BBF7C4515D4" >5 .3 <span class="Heading" >Interactive Versions of Non-interactive ANUPQ Functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X85408C4C790439E7" >5 .3 -1 Pq</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X839E6F578227A8EA" >5 .3 -2 PqEpimorphism</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7AA64A2F8509A39A" >5 .3 -3 PqPCover</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X805F32618005C087" >5 .3 -4 PqStandardPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X791392977B2D692D" >5 .3 -5 EpimorphismPqStandardPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X795817217C53AB89" >5 .3 -6 PqDescendants</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X80CCF6D379E5A3B4" >5 .3 -7 PqSetPQuotientToGroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X857F050C832A1FE4" >5 .4 <span class="Heading" >Low-level Interactive ANUPQ functions based on menu items of thespan ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X868B10557D470CF6" >5 .5 <span class="Heading" >General commands</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7DE2F6C686C672DD" >5 .5 -1 PqNrPcGenerators</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X87FF98867E8FFB3C" >5 .5 -2 PqFactoredOrder</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7B4FC9E380001A71" >5 .5 -3 PqOrder</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X87C7F7EB7C10DC4B" >5 .5 -4 PqPClass</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7EA3B6917908C20A" >5 .5 -5 PqWeight</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X79862B83817E20E1" >5 .5 -6 PqCurrentGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X805A50687D82B9EC" >5 .5 -7 PqDisplayPcPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X80410979854280E1" >5 .5 -8 PqSetOutputLevel</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7B8C72B37AE667F7" >5 .5 -9 PqEvaluateIdentities</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X7BDD5B278719C630" >5 .6 <span class="Heading" >Commands from the Main <span class="SimpleMath" >p</span menu </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7BF135DD84A781EB" >5 .6 -1 PqPcPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7D947CEA82C44898" >5 .6 -2 PqSavePcPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7FD001C0798EF219" >5 .6 -3 PqRestorePcPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X832F69597C095A27" >5 .6 -4 PqNextClass</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7CF9DF7A84D387CB" >5 .6 -5 PqComputePCover</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X7D27BE937B1DE16E" >5 .7 <span class="Heading" >Commands from the Advanced <span class="SimpleMath" >p</span >-Quotient menu </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X8633356078CA4115" >5 .7 -1 PqCollect</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X86CCB77281FDC0FC" >5 .7 -2 PqSolveEquation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X789B120B7E2F3017" >5 .7 -3 PqCommutator</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7A61A15E78F52743" >5 .7 -4 PqSetupTablesForNextClass</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X84F7DD8582B368D3" >5 .7 -5 PqTails</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X8389F6437ED634B8" >5 .7 -6 PqComputeTails</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X83CD6D888372DFB8" >5 .7 -7 PqAddTails</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X82AA8FAE85826BB9" >5 .7 -8 PqDoConsistencyChecks</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7A01EE0382689928" >5 .7 -9 PqCollectDefiningRelations</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7C2B4C1E7BEB19D5" >5 .7 -10 PqCollectWordInDefiningGenerators</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7DB05AA587D7A052" >5 .7 -11 PqCommutatorDefiningGenerators</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X80E563A97EDE083E" >5 .7 -12 PqDoExponentChecks</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7BBAB2787B305516" >5 .7 -13 PqEliminateRedundantGenerators</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X783E53B5853F45E6" >5 .7 -14 PqRevertToPreviousClass</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X8265A6DB81CD24DB" >5 .7 -15 PqSetMaximalOccurrences</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X87A35ABB7E11595E" >5 .7 -16 PqSetMetabelian</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7C7D17F878AA1BAA" >5 .7 -17 PqDoConsistencyCheck</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X843953F48319FDE1" >5 .7 -18 PqCompact</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X80344EEC78A09ACF" >5 .7 -19 PqEchelonise</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X852947327FC39DDF" >5 .7 -20 PqSupplyAutomorphisms</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7B919B537C042DAD" >5 .7 -21 PqExtendAutomorphisms</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7CFD54657DE4BD39" >5 .7 -22 PqApplyAutomorphisms</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X81A3D5BF87A34934" >5 .7 -23 PqDisplayStructure</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X853834B478C4EEE2" >5 .7 -24 PqDisplayAutomorphisms</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X80687A138626EB2D" >5 .7 -25 PqWritePcPresentation</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X7B94EDA385FDD904" >5 .8 <span class="Heading" >Commands from the Standard Presentation menu </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X78D1963D85C71B7B" >5 .8 -1 PqSPComputePcpAndPCover</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X876F30187E89E467" >5 .8 -2 PqSPStandardPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7E1B2B088322F48A" >5 .8 -3 PqSPSavePresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X81D2F9FF7C241D1E" >5 .8 -4 PqSPCompareTwoFilePresentations</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7D1277E584590ECE" >5 .8 -5 PqSPIsomorphism</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X8490031B7AA7F237" >5 .9 <span class="Heading" >Commands from the Main <span class="SimpleMath" >p</span menu </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X794A8D667A9D725A" >5 .9 -1 PqPGSupplyAutomorphisms</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X87F251077C65B6DD" >5 .9 -2 PqPGExtendAutomorphisms</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X82FD51A27D269E43" >5 .9 -3 PqPGConstructDescendants</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7E9D511385D48A98" >5 .9 -4 PqPGSetDescendantToPcp</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X7E8FBC2D83C43481" >5 .10 <span class="Heading" >Commands from the Advanced <span class="SimpleMath" >p</span >-Group Generation menu </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7E539E4B78A6CE8D" >5 .10 -1 PqAPGDegree</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7F1182A77AB7650C" >5 .10 -2 PqAPGPermutations</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7DD9E7507AA888CC" >5 .10 -3 PqAPGOrbits</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X795A756C78BE5923" >5 .10 -4 PqAPGOrbitRepresentatives</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7E5D6D5782FE190E" >5 .10 -5 PqAPGSingleStage</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X84A92E8087762DEE" >5 .11 <span class="Heading" >Primitive Interactive ANUPQ Process Read/Write Functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X8464AF7E83A523C1" >5 .11 -1 PqRead</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7ADD82207D049A87" >5 .11 -2 PqReadAll</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7EBF3C3681671879" >5 .11 -3 PqReadUntil</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X83CBE77F78057E21" >5 .11 -4 PqWrite</a></span >div ></div >div >div class="ContChap" ><a href="chap6.html#X7B0946E97E7EB359" >6 <span class="Heading" >ANUPQ Options</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6.html#X8389AD927B74BA4A" >6 .1 <span class="Heading" >Overview</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7846E25D8065D78F" >6 .1 -1 AllANUPQoptions</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X82D560C77D195089" >6 .1 -2 ANUPQoptions</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6.html#X87EE6DD67C9996A3" >6 .2 <span class="Heading" >Detailed descriptions of ANUPQ Options</span ></a>span >div >div >div class="ContChap" ><a href="chap7.html#X7FB487238298CF42" >7 <span class="Heading" >Installing the ANUPQ Package</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X854577C8800DC7C2" >7 .1 <span class="Heading" >Testing your ANUPQ installation</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X82906B5184C61063" >7 .2 <span class="Heading" >Running the pq program as a standalone</span ></a>span >div >div >div class="ContChap" ><a href="chapA.html#X7A489A5D79DA9E5C" >A <span class="Heading" >Examples</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chapA.html#X80676E317BF4DF13" >A.1 <span class="Heading" >The Relators Option </span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chapA.html#X80B2AA7084C57F5D" >A.2 <span class="Heading" >The Identities Option and PqEvaluateIdentities Function</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chapA.html#X7A997D1A8532A84B" >A.3 <span class="Heading" >A Large Example</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chapA.html#X7FB6DA8D7BB90D8C" >A.4 <span class="Heading" >Developing descendants trees</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chapA.html#X805E6B418193CF2D" >A.4 -1 PqDescendantsTreeCoclassOne</a></span >div ></div >div >div class="ContChap" ><a href="chapBib.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0.html" >Top</a> <a href="chap1.html" >1 </a> <a href="chap2.html" >2 </a> <a href="chap3.html" >3 </a> <a href="chap4.html" >4 </a> <a href="chap5.html" >5 </a> <a href="chap6.html" >6 </a> <a href="chap7.html" >7 </a> <a href="chapA.html" 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