<?xml version="1.0" encoding="UTF-8" ?>DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd " >html xmlns="http://www.w3.org/1999/xhtml " xml:lang="en" >head >script type="text/javascript" "https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (lpres) - Contents</title >meta http-equiv="content-type" content="text/html; charset=UTF-8" />meta name="generator" content="GAPDoc2HTML" />link rel="stylesheet" type="text/css" href="manual.css" />script src="manual.js" type="text/javascript" ></script >script type="text/javascript" >overwriteStyle();</script >head >body class="chap0" onload="jscontent()" >div class="chlinktop" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chap6_mj.html" >6</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap0.html" >[MathJax off]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >lpres</h1 >div >"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1_mj.html#X86B8787287B59CA4" >1 <span class="Heading" >The <strong class="pkg" >lpres</strong > package</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X7DFB63A97E67C0A1" >1.1 <span class="Heading" >Introduction</span ></a>span >div >div >div class="ContChap" ><a href="chap2_mj.html#X7AEB47327D75B633" >2 <span class="Heading" >An Introduction to L-presented groups</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X84541F61810C741D" >2.1 <span class="Heading" >Definitions</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X81065E797A486D0F" >2.2 <span class="Heading" >Creating an L-presented group</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7BBBE4C082AE4D5A" >2.2-1 LPresentedGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X79A034B8851444C9" >2.2-2 ExamplesOfLPresentations</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7DA323A87E7B6A7C" >2.2-3 FreeEngelGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X81C3537083E40A5C" >2.2-4 FreeBurnsideGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X8796306C7A7924D1" >2.2-5 FreeNilpotentGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X81450ABA81F0FCE5" >2.2-6 GeneralizedFabrykowskiGuptaLpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X83BF8C597E1DC266" >2.2-7 LamplighterGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7DBA63A37853BE46" >2.2-8 EmbeddingOfIASubgroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X80B65AF48662DE70" >2.3 <span class="Heading" >The underlying free group</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7F883CC57A3CCAC7" >2.3-1 FreeGroupOfLpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X838079A587E8CF43" >2.3-2 FreeGeneratorsOfLpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X79C44528864044C5" >2.3-3 GeneratorsOfGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X85C405D57F65048A" >2.3-4 UnderlyingElement</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X8573CDF57CB216D7" >2.3-5 ElementOfLpGroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X847047F083826C00" >2.4 <span class="Heading" >Accessing an L-presentation</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7CD9BE57815552FF" >2.4-1 FixedRelatorsOfLpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7C468D1C81964268" >2.4-2 IteratedRelatorsOfLpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X85D253888263A3F6" >2.4-3 EndomorphismsOfLpGroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X817DA8E686311B54" >2.5 <span class="Heading" >Attributes and properties of L-presented groups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X85E77B29796AB730" >2.5-1 UnderlyingAscendingLPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X86F017E085082624" >2.5-2 UnderlyingInvariantLPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X84E7A9E07A5DFDCF" >2.5-3 IsAscendingLPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X87F0C52978D99BB5" >2.5-4 IsInvariantLPresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X783B99E381C5C8BF" >2.5-5 EmbeddingOfAscendingSubgroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X7B5C48EA7CD8A57E" >2.6 <span class="Heading" >Methods for L-presented groups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7C81CB1C7F0D7A90" >2.6-1 EpimorphismFromFpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7972B0D87EF36536" >2.6-2 SplitExtensionByAutomorphismsLpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X84F112247DA4037C" >2.6-3 AsLpGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X856F237B7BAC3BC8" >2.6-4 IsomorphismLpGroup</a></span >div ></div >div >div class="ContChap" ><a href="chap3_mj.html#X824CC9CA824D3F1E" >3 <span class="Heading" >Nilpotent Quotients of L-presented groups</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X791C3E5280F38329" >3.1 <span class="Heading" >New methods for L-presented groups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8216791583DE512C" >3.1-1 NilpotentQuotient</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X79AC8BE285CBB392" >3.1-2 LargestNilpotentQuotient</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8758F663782AE655" >3.1-3 NqEpimorphismNilpotentQuotient</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X812827937F403300" >3.1-4 AbelianInvariants</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7C529DA9802E603E" >3.2 <span class="Heading" >A brief description of the algorithm</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X864A3F6F796E99DF" >3.3 <span class="Heading" >Nilpotent Quotient Systems for invariant L-presentations</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7E58D47A8729FA8E" >3.3-1 InitQuotientSystem</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7910D0698781E02A" >3.3-2 ExtendQuotientSystem</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X87CA2F188762A2B5" >3.4 <span class="Heading" >Attributes of L-presented groups related with the nilpotent quotient algorithm</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7CC4586B85C22457" >3.4-1 NilpotentQuotientSystem</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7D54126783CB7118" >3.4-2 NilpotentQuotients</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7BB56B4C7C1EFAB8" >3.5 <span class="Heading" >The Info-Class InfoLPRES</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X85F6BC1F8573D710" >3.5-1 InfoLPRES</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X80F8139B81D2294E" >3.5-2 InfoLPRES_MAX_GENS</a></span >div ></div >div >div class="ContChap" ><a href="chap4_mj.html#X874D64AA789F224E" >4 <span class="Heading" >Subgroups of L-presented groups</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X86B9E4BD7F5D1610" >4.1 <span class="Heading" >Creating a subgroup of an L-presented group</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7C82AA387A42DCA0" >4.1-1 Subgroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7FC6C908782DEA48" >4.1-2 SubgroupLpGroupByCosetTable</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X7A4EB4E0819ACB91" >4.2 <span class="Heading" >Computing the index of finite-index subgroups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X8014135884DCC53E" >4.2-1 IndexInWholeGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X83A0356F839C696F" >4.2-2 Index</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X846EC8AB7803114D" >4.2-3 CosetTableInWholeGroup</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X87A9EC0A7DF04931" >4.3 <span class="Heading" >Technical details </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X823EECA37A8EC3FE" >4.3-1 LPRES_TCSTART</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7C46A9B57BA4CA84" >4.3-2 LPRES_CosetEnumerator</a></span >div ></div >div >div class="ContChap" ><a href="chap5_mj.html#X7FBE94957D7ECCFC" >5 <span class="Heading" >Approximating the Schur multiplier</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X8606FDCE878850EF" >5.1 <span class="Heading" >Methods</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X83A5F95E84D3B662" >5.1-1 GeneratingSetOfMultiplier</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X87A3D6C07D99C79A" >5.1-2 FiniteRankSchurMultiplier</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X78084374873BDFE1" >5.1-3 EndomorphismsOfFRSchurMultiplier</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7CF92D9880A3687E" >5.1-4 EpimorphismCoveringGroups</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X86EAE6457CE03B7B" >5.1-5 EpimorphismFiniteRankSchurMultiplier</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X87182BC081DCA91E" >5.1-6 ImageInFiniteRankSchurMultiplier</a></span >div ></div >div >div class="ContChap" ><a href="chap6_mj.html#X7BC16B0082A2B827" >6 <span class="Heading" >On a parallel nilpotent quotient algorithm</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6_mj.html#X86A9B6F87E619FFF" >6.1 <span class="Heading" >Usage</span ></a>span >div >div >div class="ContChap" ><a href="chapBib_mj.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd_mj.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chap6_mj.html" >6</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >hr />"foot" >generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>body >html >quality 100%
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