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<?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://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (XMod) - Index</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="chapInd" 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="chap7_mj.html" >7</a> <a href="chap8_mj.html" >8</a> <a href="chap9_mj.html" >9</a> <a href="chap10_mj.html" >10</a> <a href="chap11_mj.html" >11</a> <a href="chap12_mj.html" >12</a> <a href="chap13_mj.html" >13</a> <a href="chap14_mj.html" >14</a> <a href="chap15_mj.html" >15</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="chapBib_mj.html" >[Previous Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chapInd.html" >[MathJax off]</a></p>"X83A0356F839C696F" name="X83A0356F839C696F" ></a></p>div class="index" >"chap2_mj.html#X7EB8288E8424F39F" >2.</a> <br />"chap2_mj.html#X7EB8288E8424F39F" >2.</a> <br />"chap3_mj.html#X815144D67C1D1AE3" >3.</a> <br />"chap10_mj.html#X847F4ED77F50528C" >10.1</a> <br />"chap8_mj.html#X780368C083C76EDC" >8.</a> <br />"chap8_mj.html#X780368C083C76EDC" >8.</a> <br />"chap8_mj.html#X78A79A7E85128C7B" >8.4</a> <br />"chap9_mj.html#X7DBA3A7E81C71A64" >9.</a> <br />"chap9_mj.html#X7DBA3A7E81C71A64" >9.</a> <br />"chap14_mj.html#X852BD9CA84C2AFF0" >14.2</a> <br />code class="func" >AbelianModuleAction</code > <a href="chap14_mj.html#X806DEFCC859BB4F1" >14.2-1</a> <br />code class="func" >AbelianModuleGroup</code > <a href="chap14_mj.html#X806DEFCC859BB4F1" >14.2-1</a> <br />code class="func" >AbelianModuleObject</code > <a href="chap14_mj.html#X806DEFCC859BB4F1" >14.2-1</a> <br />"chap6_mj.html#X7B853602873FC7AB" >6.1</a> <br />code class="func" >Actor</code > <a href="chap6_mj.html#X7FE056707BB983B3" >6.2-2</a> <br />code class="func" >ActorCat1Group</code > <a href="chap6_mj.html#X82097EE1866D0C2B" >6.2-1</a> <br />code class="func" >ActorCrossedSquare</code > <a href="chap8_mj.html#X833362FE87ED3C48" >8.2-5</a> <br />code class="func" >ActorXMod</code > <a href="chap6_mj.html#X790EBC7C7D320C03" >6.1-2</a> <br />code class="func" >AllCat1Groups</code > <a href="chap2_mj.html#X7FEB2FCE7D9ADA85" >2.6-3</a> <br code class="func" >AllCat1GroupsIterator</code > <a href="chap2_mj.html#X7FEB2FCE7D9ADA85" >2.6-3</a> <br />code class="func" >AllCat1GroupsMatrix</code > <a href="chap2_mj.html#X7FBFC8C87FC1AC5A" >2.6-2</a> <br />code class="func" >AllCat1GroupsUpToIsomorphism</code > <a href="chap2_mj.html#X7FEB2FCE7D9ADA85" >2.6-3</a> <br />code class="func" >AllCat1GroupsWithImage</code > <a href="chap2_mj.html#X7BDEBBF17CE6A6D4" >2.6-1</a> <br />code class="func" >AllCat1GroupsWithImageIterator</code > <a href="chap2_mj.html#X7BDEBBF17CE6A6D4" >2.6-1</a> <br />code class="func" >AllCat1GroupsWithImageNumber</code > <a href="chap2_mj.html#X7BDEBBF17CE6A6D4" >2.6-1</a> <br />code class="func" >AllCat1GroupsWithImageUpToIsomorphism</code > <a href="chap2_mj.html#X7BDEBBF17CE6A6D4" >2.6-1</a> <br />code class="func" >AllCat2GroupFamilies</code > <a href="chap8_mj.html#X7EFCF9697E845B2C" >8.6-4</a> <br />code class="func" >AllCat2Groups</code > <a href="chap8_mj.html#X7EFCF9697E845B2C" >8.6-4</a> <br code class="func" >AllCat2GroupsIterator</code > <a href="chap8_mj.html#X7EFCF9697E845B2C" >8.6-4</a> <br />code class="func" >AllCat2GroupsMatrix</code > <a href="chap8_mj.html#X84636E047CDF2DF3" >8.6-3</a> <br />code class="func" >AllCat2GroupsUpToIsomorphism</code > <a href="chap8_mj.html#X7EFCF9697E845B2C" >8.6-4</a> <br />code class="func" >AllCat2GroupsWithFixedUp</code > <a href="chap8_mj.html#X783F7FEB7B79B062" >8.6-2</a> <br />code class="func" >AllCat2GroupsWithFixedUpAndLeftRange</code > <a href="chap8_mj.html#X783F7FEB7B79B062" >8.6-2</a> <br />code class="func" >AllCat2GroupsWithImages</code > <a href="chap8_mj.html#X7D421DE57B44F37A" >8.6-1</a> <br />code class="func" >AllCat2GroupsWithImagesIterator</code > <a href="chap8_mj.html#X7D421DE57B44F37A" >8.6-1</a> <br />code class="func" >AllCat2GroupsWithImagesNumber</code > <a href="chap8_mj.html#X7D421DE57B44F37A" >8.6-1</a> <br />code class="func" >AllCat2GroupsWithImagesUpToIsomorphism</code > <a href="chap8_mj.html#X7D421DE57B44F37A" >8.6-1</a> <br />code class="func" >AllCat3Groups</code > <a href="chap9_mj.html#X83E4A7367DD13598" >9.2-1</a> <br code class="func" >AllCat3GroupsNumber</code > <a href="chap9_mj.html#X83E4A7367DD13598" >9.2-1</a> <br />code class="func" >AllCat3GroupTriples</code > <a href="chap9_mj.html#X83E4A7367DD13598" >9.2-1</a> <br />code class="func" >AllDerivations</code > <a href="chap5_mj.html#X788884E48534F7CB" >5.2-1</a> <br />code class="func" >AllInducedXMods</code > <a href="chap7_mj.html#X7B24D47F8078540F" >7.2-2</a> <br />code class="func" >AllLoopsXMod</code > <a href="chap12_mj.html#X87781C76804E783E" >12.1-1</a> <br />code class="func" >AllSections</code > <a href="chap5_mj.html#X813CAA17855172E4" >5.4-1</a> <br />code class="func" >AllStemGroupFamilies</code > <a href="chap4_mj.html#X7C72991985B58DB8" >4.2-2</a> <br />code class="func" >AllStemGroupIds</code > <a href="chap4_mj.html#X7C72991985B58DB8" >4.2-2</a> <br />code class="func" >AllXMods</code > <a href="chap4_mj.html#X81EE2188863E6E85" >4.1-12</a> <br />code class="func" >AllXModsUpToIsomorphism</code > <a href="chap4_mj.html#X81EE2188863E6E85" >4.1-12</a> <br />code class="func" >AllXModsWithGroups</code > <a href="chap4_mj.html#X81EE2188863E6E85" >4.1-12</a> <br />code class="func" >AreIsoclinicDomains</code >, for crossed modules of groups <a href="chap4_mj.html#X81338C977972AD83" >4.3-1</a> <br />"chap4_mj.html#X7B0D511A82FD945E" >4.2-1</a> <br />"chap2_mj.html#X790248A67CB9C33A" >2.1-9</a> <br />code class="func" >AutomorphismPermGroup</code > <a href="chap6_mj.html#X80F121357F06E72D" >6.1-1</a> <br />code class="func" >Back3DimensionalGroup</code >, for cat3-groups <a href="chap9_mj.html#X85A5A6967D942463" >9.1-2</a> <br />code class="func" >Boundary</code >, for cat1-groups <a href="chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />"chap2_mj.html#X790248A67CB9C33A" >2.1-9</a> <br />"chap2_mj.html#X7A6A70BD86DE458D" >2.7</a> <br />"chap2_mj.html#X7A6A70BD86DE458D" >2.7</a> <br />code class="func" >Cat1Group</code > <a href="chap2_mj.html#X7CF4C37F87D27EBA" >2.4-1</a> <br />code class="func" >Cat1GroupByPeifferQuotient</code > <a href="chap2_mj.html#X87544FAD873672E1" >2.4-5</a> <br />code class="func" >Cat1GroupMorphism</code > <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >Cat1GroupMorphismByGroupHomomorphisms</code > <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >Cat1GroupMorphismOfXModMorphism</code > <a href="chap3_mj.html#X7D7459E67B568B44" >3.3-2</a> <br />code class="func" >Cat1GroupOfXMod</code > <a href="chap2_mj.html#X82F10A59867C765D" >2.5-3</a> <br />code class="func" >Cat1GroupToHAP</code > <a href="chap13_mj.html#X7B00E3FB82DC305D" >13.1-2</a> <br />code class="func" >Cat1Select</code > <a href="chap2_mj.html#X7B8E67D880E380C8" >2.7-1</a> <br />code class="func" >Cat2Group</code > <a href="chap8_mj.html#X849D845586F92444" >8.5-1</a> <br />code class="func" >Cat2GroupMorphism</code > <a href="chap8_mj.html#X83616C237F4745FB" >8.5-6</a> <br />code class="func" >Cat2GroupMorphismByCat1GroupMorphisms</code > <a href="chap8_mj.html#X83616C237F4745FB" >8.5-6</a> <br />code class="func" >Cat2GroupMorphismByGroupHomomorphisms</code > <a href="chap8_mj.html#X83616C237F4745FB" >8.5-6</a> <br />code class="func" >Cat2GroupOfCrossedSquare</code > <a href="chap8_mj.html#X7D46CB517FCAA83B" >8.5-7</a> <br />code class="func" >Cat3Group</code > <a href="chap9_mj.html#X7828496F7D72E232" >9.1-1</a> <br />span class="SimpleMath" >\(^1\)</span >-group <a href="chap2_mj.html#X7AAABC1D7E110988" >2.4</a> <br />span class="SimpleMath" >\(^2\)</span >-group <a href="chap8_mj.html#X86D5AA247B64ED51" >8.5</a> <br />span class="SimpleMath" >\(^3\)</span >-group <a href="chap9_mj.html#X7DBA3A7E81C71A64" >9.</a> <br />span class="SimpleMath" >\(^n\)</span >-group <a href="chap9_mj.html#X7F8538B580847268" >9.3</a> <br />code class="func" >CatnGroup</code > <a href="chap9_mj.html#X81C3D39A81B20D76" >9.3-1</a> <br />code class="func" >CatnGroupLists</code >, for cat1-groups <a href="chap2_mj.html#X7C6346A17FEEDFA1" >2.6-4</a> <br />"chap8_mj.html#X7EFCF9697E845B2C" >8.6-4</a> <br />code class="func" >CatnGroupNumbers</code >, for cat1-groups <a href="chap2_mj.html#X7C6346A17FEEDFA1" >2.6-4</a> <br />"chap8_mj.html#X7EFCF9697E845B2C" >8.6-4</a> <br />code class="func" >CatOneGroupToXMod</code > <a href="chap13_mj.html#X7B00E3FB82DC305D" >13.1-2</a> <br />code class="func" >Centralizer</code > <a href="chap4_mj.html#X7B57446086BA1BF0" >4.1-7</a> <br />code class="func" >CentralQuotient</code > <a href="chap4_mj.html#X814D9E1E78EEE665" >4.1-8</a> <br />"chap8_mj.html#X7C2647CB82DDD065" >8.2-11</a> <br />code class="func" >CentreXMod</code > <a href="chap4_mj.html#X7B57446086BA1BF0" >4.1-7</a> <br />code class="func" >CommutatorSubXMod</code > <a href="chap4_mj.html#X86ACB83E7D70C625" >4.1-4</a> <br />code class="func" >CompositionMorphism</code > <a href="chap3_mj.html#X811F886081AAB95F" >3.4-1</a> <br />code class="func" >CoproductInfo</code > <a href="chap7_mj.html#X7C01F5D98046E44B" >7.1-1</a> <br code class="func" >CoproductXMod</code > <a href="chap7_mj.html#X7C01F5D98046E44B" >7.1-1</a> <br code class="func" >CrossActionSubgroup</code > <a href="chap4_mj.html#X86ACB83E7D70C625" >4.1-4</a> <br />code class="func" >CrossDiagonalActions</code >, for crossed squares <a href="chap8_mj.html#X828CFC5A83097189" >8.2-13</a> <br />"chap2_mj.html#X7BAD9A7F7AFEEC89" >2.1</a> <br />"chap3_mj.html#X7BBEA95E7AE1F317" >3.1</a> <br />"chap10_mj.html#X80B3A81B7E5CA3A9" >10.</a> <br />"chap10_mj.html#X847F4ED77F50528C" >10.1</a> <br />"chap8_mj.html#X7C4AFE8D85848C8F" >8.1</a> <br />"chap8_mj.html#X7C4AFE8D85848C8F" >8.1</a> <br />code class="func" >Crossed Pairing</code > <a href="chap8_mj.html#X7AE671C7798F99FD" >8.2-15</a> <br />"chap6_mj.html#X790EBC7C7D320C03" >6.1-2</a> <a href="chap8_mj.html#X7C4AFE8D85848C8F" >8.1</a> <br />"chap8_mj.html#X78A79A7E85128C7B" >8.4</a> <br />code class="func" >CrossedPairingByCommutators</code > <a href="chap8_mj.html#X7896DAF786F46234" >8.2-3</a> <br />code class="func" >CrossedPairingByConjugators</code > <a href="chap8_mj.html#X82E4EA93824F7B26" >8.2-6</a> <br />code class="func" >CrossedPairingByDerivations</code > <a href="chap8_mj.html#X833362FE87ED3C48" >8.2-5</a> <br />code class="func" >CrossedPairingByPreImages</code > <a href="chap8_mj.html#X7F5554907AF73190" >8.2-8</a> <br />code class="func" >CrossedPairingBySingleXModAction</code > <a href="chap8_mj.html#X7FA367977B1895A7" >8.2-4</a> <br />code class="func" >CrossedSquare</code > <a href="chap8_mj.html#X87FBE3CE87DC8CD5" >8.2-9</a> <br code class="func" >CrossedSquareByAutomorphismGroup</code > <a href="chap8_mj.html#X82E4EA93824F7B26" >8.2-6</a> <br />code class="func" >CrossedSquareByNormalSubgroups</code > <a href="chap8_mj.html#X7896DAF786F46234" >8.2-3</a> <br />code class="func" >CrossedSquareByNormalSubXMod</code > <a href="chap8_mj.html#X7FA367977B1895A7" >8.2-4</a> <br />code class="func" >CrossedSquareByPullback</code > <a href="chap8_mj.html#X839E065783795CB8" >8.2-7</a> <br />code class="func" >CrossedSquareByXMods</code > <a href="chap8_mj.html#X866A7FAC7FCB62C2" >8.2-1</a> <br />code class="func" >CrossedSquareByXModSplitting</code > <a href="chap8_mj.html#X7F5554907AF73190" >8.2-8</a> <br />code class="func" >CrossedSquareMorphism</code > <a href="chap8_mj.html#X83E733547A14FD61" >8.4-1</a> <br />code class="func" >CrossedSquareMorphismByGroupHomomorphisms</code > <a href="chap8_mj.html#X83E733547A14FD61" >8.4-1</a> <br />code class="func" >CrossedSquareMorphismByXModMorphisms</code > <a href="chap8_mj.html#X83E733547A14FD61" >8.4-1</a> <br />code class="func" >CrossedSquareOfCat2Group</code > <a href="chap8_mj.html#X7D46CB517FCAA83B" >8.5-7</a> <br />"chap5_mj.html#X7C01AE7783898705" >5.1</a> <br />code class="func" >DerivationByImages</code > <a href="chap5_mj.html#X83EC6F7780F5636E" >5.1-1</a> <br />code class="func" >DerivationBySection</code > <a href="chap5_mj.html#X7E1C72897CD31D66" >5.1-3</a> <br />code class="func" >DerivationClass</code > <a href="chap5_mj.html#X788884E48534F7CB" >5.2-1</a> <br />code class="func" >DerivationImage</code > <a href="chap5_mj.html#X83EC6F7780F5636E" >5.1-1</a> <br />code class="func" >DerivedSubXMod</code > <a href="chap4_mj.html#X86E0804B780A7FD6" >4.1-5</a> <br />code class="func" >Diagonal2DimensionalGroup</code >, for cat2-groups <a href="chap8_mj.html#X81BD4011837BCC2E" >8.5-2</a> <br />"chap8_mj.html#X828CFC5A83097189" >8.2-13</a> <br />code class="func" >DiagonalCat1Group</code > <a href="chap2_mj.html#X79944C7B87F767FD" >2.4-3</a> <br />code class="func" >DirectProduct</code > <a href="chap8_mj.html#X861BA02C7902A4F4" >8.5-3</a> <br "chap2_mj.html#X7CE4F14585F6D473" >2.4-7</a> <br />"chap2_mj.html#X81704DFB795C0D29" >2.1-8</a> <br />code class="func" >Displacement</code > <a href="chap4_mj.html#X7E20208279038BB8" >4.1-3</a> <br />code class="func" >DisplacementGroup</code > <a href="chap4_mj.html#X7E20208279038BB8" >4.1-3</a> <br />code class="func" >DisplacementSubgroup</code > <a href="chap4_mj.html#X7E20208279038BB8" >4.1-3</a> <br />"chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />"chap2_mj.html#X85516B19803C01C0" >2.1-12</a> <br />"chap8_mj.html#X866A7FAC7FCB62C2" >8.2-1</a> <br />code class="func" >DisplayLeadMaps</code > <a href="chap8_mj.html#X85713B1C7C34324E" >8.5-4</a> <br />code class="func" >DoubleGroupoidWithZeroBoundary</code > <a href="chap11_mj.html#X7DC35C557E498880" >11.3-1</a> <br />code class="func" >Down2DimensionalGroup</code >, for cat2-groups <a href="chap8_mj.html#X81BD4011837BCC2E" >8.5-2</a> <br />"chap8_mj.html#X828CFC5A83097189" >8.2-13</a> <br />code class="func" >Down2DimensionalMorphism</code > <a href="chap8_mj.html#X7DE8173F80E07AB1" >8.4-2</a> <br />code class="func" >Down3DimensionalGroup</code >, for cat3-groups <a href="chap9_mj.html#X85A5A6967D942463" >9.1-2</a> <br />code class="func" >EnhancedBasicDoubleGroupoid</code > <a href="chap11_mj.html#X7CB177EF78B559DB" >11.2-1</a> <br />code class="func" >ExternalSetXMod</code > <a href="chap2_mj.html#X85516B19803C01C0" >2.1-12</a> <br />code class="func" >FactorPreXMod</code > <a href="chap4_mj.html#X873ED97185D9176E" >4.1-1</a> <br code class="func" >FixedPointSubgroupXMod</code > <a href="chap4_mj.html#X85640DD17F5A2949" >4.1-6</a> <br />"chap12_mj.html#X8575260A80F735BD" >12.1</a> <br />code class="func" >Front3DimensionalGroup</code >, for cat3-groups <a href="chap9_mj.html#X85A5A6967D942463" >9.1-2</a> <br />code class="func" >GeneratingAutomorphisms</code > <a href="chap6_mj.html#X80F121357F06E72D" >6.1-1</a> <br />code class="func" >GroupGroupoid</code > <a href="chap2_mj.html#X7AF5AF668331321E" >2.9-1</a> <br code class="func" >GroupGroupoidElement</code > <a href="chap2_mj.html#X8578AB6D7C1FC4F3" >2.9-2</a> <br />code class="func" >HeadMap</code > <a href="chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />code class="func" >HorizontalProduct</code > <a href="chap11_mj.html#X7D3737FA7E9E3ECA" >11.1-3</a> <br />code class="func" >IdCat1Group</code > <a href="chap13_mj.html#X84B7160284FD454A" >13.1-3</a> <br code class="func" >IdentityDerivation</code > <a href="chap5_mj.html#X87D9F7257DFF0236" >5.1-4</a> <br />code class="func" >IdentityMapping</code >, for pre-xmods <a href="chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />"chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >IdentitySection</code > <a href="chap5_mj.html#X87D9F7257DFF0236" >5.1-4</a> <br />code class="func" >IdGroup</code >, for 2d-groups <a href="chap2_mj.html#X7831DB527CF9DD57" >2.8-1</a> <br />"chap2_mj.html#X85516B19803C01C0" >2.1-12</a> <br />code class="func" >ImageElmXModAction</code > <a href="chap2_mj.html#X7AF6602C87845F1D" >2.1-10</a> <br />code class="func" >ImagesList</code > <a href="chap5_mj.html#X788884E48534F7CB" >5.2-1</a> <br />code class="func" >ImagesTable</code > <a href="chap5_mj.html#X788884E48534F7CB" >5.2-1</a> <br />"chap14_mj.html#X7C9734B880042C73" >14.1</a> <br />code class="func" >InclusionMappingGroups</code > <a href="chap14_mj.html#X7F8E297F7C84DE51" >14.1-1</a> <br />code class="func" >InclusionMorphism2DimensionalDomains</code >, for cat1-groups <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />"chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />code class="func" >InclusionMorphismHigherDimensionalDomains</code > <a href="chap8_mj.html#X8614E38E7A67690E" >8.4-4</a> <br />"chap7_mj.html#X814A695779706E22" >7.3</a> <br />"chap7_mj.html#X7966FF497C36C465" >7.2</a> <br />code class="func" >InducedCat1Group</code > <a href="chap7_mj.html#X7BCE57BE7F6E6B08" >7.3-1</a> <br />code class="func" >InducedCat1GroupByFreeProduct</code > <a href="chap7_mj.html#X7BCE57BE7F6E6B08" >7.3-1</a> <br />code class="func" >InducedXMod</code > <a href="chap7_mj.html#X874CB2A278AADE3A" >7.2-1</a> <br />code class="func" >InducedXModByCopower</code > <a href="chap7_mj.html#X874CB2A278AADE3A" >7.2-1</a> <br />code class="func" >InducedXModBySurjection</code > <a href="chap7_mj.html#X874CB2A278AADE3A" >7.2-1</a> <br />code class="code" >InfoXMod</code > <a href="chap1_mj.html#X7DFB63A97E67C0A1" >1.</a> <br />code class="func" >InitCatnGroupRecords</code > <a href="chap2_mj.html#X7C6346A17FEEDFA1" >2.6-4</a> <br />code class="func" >InnerActor</code > <a href="chap6_mj.html#X7FE056707BB983B3" >6.2-2</a> <br />code class="func" >InnerActorCat1Group</code > <a href="chap6_mj.html#X82097EE1866D0C2B" >6.2-1</a> <br />code class="func" >InnerActorXMod</code > <a href="chap6_mj.html#X85CF21F57F0F1329" >6.1-3</a> <br />code class="func" >InnerAutomorphismCat1</code > <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >InnerAutomorphismsByNormalSubgroup</code > <a href="chap14_mj.html#X81D29E737F3D4878" >14.1-2</a> <br />code class="func" >InnerAutomorphismXMod</code > <a href="chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />code class="func" >InnerMorphism</code > <a href="chap6_mj.html#X85CF21F57F0F1329" >6.1-3</a> <br code class="func" >IntersectionSubXMods</code > <a href="chap4_mj.html#X8591E25680C5C575" >4.1-2</a> <br />"chap2_mj.html#X7CF622538749FE73" >2.2</a> <br />"chap2_mj.html#X7CF622538749FE73" >2.2</a> <br />code class="func" >Is2DimensionalGroup</code > <a href="chap2_mj.html#X7E77E6B881B1CE50" >2.2-1</a> <br />"chap10_mj.html#X7B76F2BF82E075FF" >10.1-3</a> <br />code class="func" >Is3dObject</code > <a href="chap8_mj.html#X8645AA3686F126D5" >8.2-12</a> <br />code class="func" >IsAbelian2DimensionalGroup</code > <a href="chap4_mj.html#X7F4222757B0E08B6" >4.1-9</a> <br />code class="func" >IsAbelian3DimensionalGroup</code > <a href="chap8_mj.html#X7F81DA90820F4405" >8.2-14</a> <br />code class="func" >IsAbelianModule</code > <a href="chap14_mj.html#X806DEFCC859BB4F1" >14.2-1</a> <br />"chap2_mj.html#X7CF622538749FE73" >2.2</a> <br />code class="func" >IsAspherical2DimensionalGroup</code > <a href="chap4_mj.html#X7F4222757B0E08B6" >4.1-9</a> <br />code class="func" >IsAutomorphism3dObject</code > <a href="chap8_mj.html#X8284240C7B9BB783" >8.4-3</a> <br />"chap2_mj.html#X7CF622538749FE73" >2.2</a> <br code class="func" >IsAutomorphismGroup3DimensionalGroup</code > <a href="chap8_mj.html#X7F81DA90820F4405" >8.2-14</a> <br />code class="func" >IsBijective</code > <a href="chap8_mj.html#X8284240C7B9BB783" >8.4-3</a> <br />"chap3_mj.html#X7E078F497F4EFA9F" >3.2-2</a> <br />code class="func" >IsCat1Group</code > <a href="chap2_mj.html#X78E03FAB84A57D03" >2.5-1</a> <br />code class="func" >IsCat1GroupMorphism</code > <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >IsCat2Group</code > <a href="chap8_mj.html#X849D845586F92444" >8.5-1</a> <br />code class="func" >IsCat3Group</code > <a href="chap9_mj.html#X7828496F7D72E232" >9.1-1</a> <br />"chap2_mj.html#X7CF622538749FE73" >2.2</a> <br />code class="func" >IsCentralExtension3DimensionalGroup</code > <a href="chap8_mj.html#X7F81DA90820F4405" >8.2-14</a> <br />code class="func" >IsCrossedSquare</code > <a href="chap8_mj.html#X8645AA3686F126D5" >8.2-12</a> <br />code class="func" >IsCrossedSquareMorphism</code > <a href="chap8_mj.html#X8284240C7B9BB783" >8.4-3</a> <br />code class="func" >IsDerivation</code > <a href="chap5_mj.html#X83EC6F7780F5636E" >5.1-1</a> <br />code class="func" >IsDirectProductWithCompleteDigraphDomain</code > <a href="chap10_mj.html#X7B76F2BF82E075FF" >10.1-3</a> <br />code class="func" >IsEndo2DimensionalMapping</code > <a href="chap3_mj.html#X7E078F497F4EFA9F" >3.2-2</a> <br />code class="func" >IsEndomorphism3dObject</code > <a href="chap8_mj.html#X8284240C7B9BB783" >8.4-3</a> <br />code class="func" >IsFaithful2DimensionalGroup</code > <a href="chap4_mj.html#X7F4222757B0E08B6" >4.1-9</a> <br />code class="func" >IsFp2DimensionalGroup</code > <a href="chap2_mj.html#X7E77E6B881B1CE50" >2.2-1</a> <br />code class="func" >IsFp3dObject</code > <a href="chap8_mj.html#X8645AA3686F126D5" >8.2-12</a> <br code class="func" >IsFpPreXModWithObjects</code > <a href="chap10_mj.html#X858EB4F97D04D012" >10.1-4</a> <br />code class="func" >IsGroupOfAutomorphisms</code > <a href="chap14_mj.html#X7FC631B786C1DC8B" >14.1-3</a> <br />code class="func" >IsIdentityCat1Group</code > <a href="chap2_mj.html#X78E03FAB84A57D03" >2.5-1</a> <br />code class="func" >IsInducedXMod</code > <a href="chap7_mj.html#X874CB2A278AADE3A" >7.2-1</a> <br code class="func" >IsInjective</code >, for pre-xmod morphisms <a href="chap3_mj.html#X7E078F497F4EFA9F" >3.2-2</a> <br />"chap5_mj.html#X861A52407D3C627D" >5.2</a> <br />code class="func" >IsNilpotent2DimensionalGroup</code > <a href="chap4_mj.html#X87C524C08588AAC0" >4.1-10</a> <br />code class="func" >IsNormal</code >, for pre-crossed modules <a href="chap2_mj.html#X7884284383284A87" >2.2-2</a> <br />code class="func" >IsNormalSub3DimensionalGroup</code > <a href="chap8_mj.html#X7F81DA90820F4405" >8.2-14</a> <br />"chap2_mj.html#X7CF622538749FE73" >2.2</a> <br />code class="func" >IsoclinicMiddleLength</code >, for crossed modules of groups <a href="chap4_mj.html#X820C412679910975" >4.3-3</a> <br />"chap4_mj.html#X82DD52587F81C95C" >4.2-3</a> <br />code class="func" >IsoclinicRank</code >, for crossed modules of groups <a href="chap4_mj.html#X820C412679910975" >4.3-3</a> <br />"chap4_mj.html#X82DD52587F81C95C" >4.2-3</a> <br />code class="func" >IsoclinicStemDomain</code >, for crossed modules of groups <a href="chap4_mj.html#X7E86DCB083CA5915" >4.3-2</a> <br />"chap4_mj.html#X7C72991985B58DB8" >4.2-2</a> <br />code class="func" >Isoclinism</code >, for crossed modules <a href="chap4_mj.html#X81338C977972AD83" >4.3-1</a> <br />"chap4_mj.html#X7B0D511A82FD945E" >4.2-1</a> <br />code class="func" >IsomorphicPreCat1GroupWithIdentityEmbedding</code > <a href="chap2_mj.html#X7B7CF88F83B0129D" >2.5-2</a> <br />code class="func" >IsomorphismByIsomorphisms</code > <a href="chap3_mj.html#X854FC0C781AD62EC" >3.2-4</a> <br />code class="func" >IsomorphismClassRepresentatives2dGroups</code > <a href="chap4_mj.html#X81EE2188863E6E85" >4.1-12</a> <br />code class="func" >IsomorphismFp2DimensionalGroup</code >, for pre-cat1 morphisms <a href="chap3_mj.html#X7C6AF7C285D546B2" >3.3-3</a> <br />code class="func" >IsomorphismPc2DimensionalGroup</code >, for pre-cat1 morphisms <a href="chap3_mj.html#X7C6AF7C285D546B2" >3.3-3</a> <br />"chap3_mj.html#X854FC0C781AD62EC" >3.2-4</a> <br />code class="func" >IsomorphismPerm2DimensionalGroup</code >, for pre-cat1 morphisms <a href="chap3_mj.html#X7C6AF7C285D546B2" br />"chap3_mj.html#X854FC0C781AD62EC" >3.2-4</a> <br />code class="func" >IsomorphismPermObject</code > <a href="chap3_mj.html#X7C6AF7C285D546B2" >3.3-3</a> <br />code class="func" >IsomorphismToPreCat1GroupWithIdentityEmbedding</code > <a href="chap2_mj.html#X7B7CF88F83B0129D" >2.5-2</a> <br />code class="func" >IsomorphismXMods</code > <a href="chap4_mj.html#X7C67623F797A0301" >4.1-11</a> <br />code class="func" >IsPc2DimensionalGroup</code > <a href="chap2_mj.html#X7E77E6B881B1CE50" >2.2-1</a> <br />code class="func" >IsPc3dObject</code > <a href="chap8_mj.html#X8645AA3686F126D5" >8.2-12</a> <br code class="func" >IsPcPreXModWithObjects</code > <a href="chap10_mj.html#X858EB4F97D04D012" >10.1-4</a> <br />code class="func" >IsPerm2DimensionalGroup</code > <a href="chap2_mj.html#X7E77E6B881B1CE50" >2.2-1</a> <br />code class="func" >IsPerm3dObject</code > <a href="chap8_mj.html#X8645AA3686F126D5" >8.2-12</a> <br />code class="func" >IsPermPreXModWithObjects</code > <a href="chap10_mj.html#X858EB4F97D04D012" >10.1-4</a> <br />code class="func" >IsPreCat1GroupMorphism</code > <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >IsPreCat1GroupWithIdentityEmbedding</code > <a href="chap2_mj.html#X7B7CF88F83B0129D" >2.5-2</a> <br />code class="func" >IsPreCrossedSquare</code > <a href="chap8_mj.html#X8645AA3686F126D5" >8.2-12</a> <br />code class="func" >IsPreCrossedSquareMorphism</code > <a href="chap8_mj.html#X8284240C7B9BB783" >8.4-3</a> <br />code class="func" >IsPreXCat1Group</code > <a href="chap2_mj.html#X78E03FAB84A57D03" >2.5-1</a> <br />code class="func" >IsPreXMod</code > <a href="chap2_mj.html#X7E77E6B881B1CE50" >2.2-1</a> <br />code class="func" >IsPreXModMorphism</code > <a href="chap3_mj.html#X82B912B18127A42A" >3.2-1</a> <br />code class="func" >IsPreXModWithObjects</code > <a href="chap10_mj.html#X7B76F2BF82E075FF" >10.1-3</a> <br />code class="func" >IsSection</code > <a href="chap5_mj.html#X7E1C72897CD31D66" >5.1-3</a> <br />code class="func" >IsSimplyConnected2DimensionalGroup</code > <a href="chap4_mj.html#X7F4222757B0E08B6" >4.1-9</a> <br />code class="func" >IsSingleValued</code >, for pre-xmod morphisms <a href="chap3_mj.html#X7E078F497F4EFA9F" >3.2-2</a> <br />code class="func" >IsStemDomain</code >, for crossed modules of groups <a href="chap4_mj.html#X7E86DCB083CA5915" >4.3-2</a> <br />"chap4_mj.html#X7C72991985B58DB8" >4.2-2</a> <br />code class="func" >IsSub2DimensionalGroup</code > <a href="chap2_mj.html#X83BBC6818168C282" >2.8-2</a> <br />code class="func" >IsSubCat1Group</code > <a href="chap2_mj.html#X83BBC6818168C282" >2.8-2</a> <br />code class="func" >IsSubCat2Group</code > <a href="chap8_mj.html#X7DB082D282C52855" >8.5-9</a> <br />code class="func" >IsSubCrossedSquare</code > <a href="chap8_mj.html#X83F16E94857407F3" >8.3-1</a> <br />code class="func" >IsSubPreCat1Group</code > <a href="chap2_mj.html#X83BBC6818168C282" >2.8-2</a> <br />code class="func" >IsSubPreCat2Group</code > <a href="chap8_mj.html#X7DB082D282C52855" >8.5-9</a> <br />code class="func" >IsSubPreCrossedSquare</code > <a href="chap8_mj.html#X83F16E94857407F3" >8.3-1</a> <br />code class="func" >IsSubPreXMod</code > <a href="chap2_mj.html#X83BBC6818168C282" >2.8-2</a> <br />code class="func" >IsSubXMod</code > <a href="chap2_mj.html#X83BBC6818168C282" >2.8-2</a> <br />code class="func" >IsSurjective</code >, for pre-xmod morphisms <a href="chap3_mj.html#X7E078F497F4EFA9F" >3.2-2</a> <br />code class="func" >IsSymmetric3DimensionalGroup</code > <a href="chap8_mj.html#X7F81DA90820F4405" >8.2-14</a> <br />code class="func" >IsTotal</code >, for pre-xmod morphisms <a href="chap3_mj.html#X7E078F497F4EFA9F" >3.2-2</a> <br />"chap2_mj.html#X7CF622538749FE73" >2.2</a> <br />code class="func" >IsTrivialAction3DimensionalGroup</code > <a href="chap8_mj.html#X7F81DA90820F4405" >8.2-14</a> <br />code class="func" >IsUp2DimensionalMapping</code > <a href="chap5_mj.html#X83EC6F7780F5636E" >5.1-1</a> <br />code class="func" >IsWhiteheadPermGroup</code > <a href="chap5_mj.html#X84CD856C84BDB019" >5.2-3</a> <br />code class="func" >IsXMod</code > <a href="chap2_mj.html#X7E77E6B881B1CE50" >2.2-1</a> <br />code class="func" >IsXModMorphism</code > <a href="chap3_mj.html#X82B912B18127A42A" >3.2-1</a> <br />code class="func" >IsXModWithObjects</code > <a href="chap10_mj.html#X7B76F2BF82E075FF" >10.1-3</a> <br />code class="func" >Kernel</code >, for 2d-mappings <a href="chap3_mj.html#X83C3A2478159DE76" >3.4-2</a> <br />code class="func" >Kernel2DimensionalMapping</code > <a href="chap3_mj.html#X83C3A2478159DE76" >3.4-2</a> <br />code class="func" >KernelCokernelXMod</code > <a href="chap2_mj.html#X7D8165F77B23BCF6" >2.2-3</a> <br />code class="func" >KernelEmbedding</code > <a href="chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />code class="func" >Left2DimensionalGroup</code >, for cat2-groups <a href="chap8_mj.html#X81BD4011837BCC2E" >8.5-2</a> <br />"chap8_mj.html#X828CFC5A83097189" >8.2-13</a> <br />code class="func" >Left2DimensionalMorphism</code > <a href="chap8_mj.html#X7DE8173F80E07AB1" >8.4-2</a> <br />code class="func" >Left3DimensionalGroup</code >, for cat3-groups <a href="chap9_mj.html#X85A5A6967D942463" >9.1-2</a> <br />"chap12_mj.html#X8575260A80F735BD" >12.1</a> <br />code class="func" >LoopClasses</code > <a href="chap12_mj.html#X87781C76804E783E" >12.1-1</a> <br code class="func" >LoopsXMod</code > <a href="chap12_mj.html#X87781C76804E783E" >12.1-1</a> <br />code class="func" >LowerCentralSeriesOfXMod</code > <a href="chap4_mj.html#X87C524C08588AAC0" >4.1-10</a> <br />code class="func" >LueXMod</code > <a href="chap6_mj.html#X790EBC7C7D320C03" >6.1-2</a> <br />code class="func" >MappingToOne</code > <a href="chap14_mj.html#X7F8E297F7C84DE51" >14.1-1</a> <br />"chap3_mj.html#X78CADE4D7EB1EA44" >3.2</a> <br />"chap3_mj.html#X7BBEA95E7AE1F317" >3.1</a> <br />"chap8_mj.html#X78A79A7E85128C7B" >8.4</a> <br />code class="func" >MorphismOfInducedXMod</code > <a href="chap7_mj.html#X874CB2A278AADE3A" >7.2-1</a> <br />code class="func" >MorphismOfPullback</code >, for a crossed module by pullback <a href="chap3_mj.html#X87BCAAF787A7FF69" >3.2-5</a> <br />code class="func" >Name</code > <a href="chap8_mj.html#X828CFC5A83097189" >8.2-13</a> <br />"chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />"chap2_mj.html#X85516B19803C01C0" >2.1-12</a> <br />code class="func" >NaturalMorphismByNormalSubPreXMod</code > <a href="chap4_mj.html#X873ED97185D9176E" >4.1-1</a> <br />code class="func" >NilpotencyClass2DimensionalGroup</code > <a href="chap4_mj.html#X87C524C08588AAC0" >4.1-10</a> <br />code class="func" >Normalizer</code > <a href="chap4_mj.html#X7B57446086BA1BF0" >4.1-7</a> <br />code class="func" >NormalSubXMods</code > <a href="chap2_mj.html#X7884284383284A87" >2.2-2</a> <br />code class="func" >NorrieXMod</code > <a href="chap6_mj.html#X790EBC7C7D320C03" >6.1-2</a> <br />code class="func" >Object2d</code > <a href="chap5_mj.html#X83EC6F7780F5636E" >5.1-1</a> <br />code class="func" >Object2dEndomorphism</code > <a href="chap5_mj.html#X7E27AE6478566A94" >5.3-3</a> <br />"chap10_mj.html#X797B1CD07C3682EE" >10.1-5</a> <br />"chap3_mj.html#X7B09A28579707CAF" >3.4</a> <br />"chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />"chap2_mj.html#X8487BE427858C5C9" >2.3-1</a> <br />code class="func" >PeifferSubgroup</code > <a href="chap2_mj.html#X8527F4C07A8F359E" >2.3-2</a> <br />code class="func" >PermAutomorphismAs2dGroupMorphism</code > <a href="chap6_mj.html#X80F121357F06E72D" >6.1-1</a> <br />"chap2_mj.html#X7D435B6279032D4D" >2.3</a> <br />code class="func" >PreCat1Group</code > <a href="chap2_mj.html#X7CF4C37F87D27EBA" >2.4-1</a> <br />code class="func" >PreCat1GroupByTailHeadEmbedding</code > <a href="chap2_mj.html#X7CF4C37F87D27EBA" >2.4-1</a> <br />code class="func" >PreCat1GroupMorphism</code > <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >PreCat1GroupMorphismByGroupHomomorphisms</code > <a href="chap3_mj.html#X7C47D0EC782D4C40" >3.3-1</a> <br />code class="func" >PreCat1GroupRecordOfPreXMod</code > <a href="chap2_mj.html#X82F10A59867C765D" >2.5-3</a> <br />code class="func" >PreCat1GroupWithIdentityEmbedding</code > <a href="chap2_mj.html#X7CF4C37F87D27EBA" >2.4-1</a> <br />code class="func" >PreCat2Group</code > <a href="chap8_mj.html#X849D845586F92444" >8.5-1</a> <br />code class="func" >PreCat2GroupByPreCat1Groups</code > <a href="chap8_mj.html#X849D845586F92444" >8.5-1</a> <br />code class="func" >PreCat2GroupMorphism</code > <a href="chap8_mj.html#X83616C237F4745FB" >8.5-6</a> <br />code class="func" >PreCat2GroupMorphismByGroupHomomorphisms</code > <a href="chap8_mj.html#X83616C237F4745FB" >8.5-6</a> <br />code class="func" >PreCat2GroupMorphismByPreCat1GroupMorphisms</code > <a href="chap8_mj.html#X83616C237F4745FB" >8.5-6</a> <br />code class="func" >PreCat3Group</code > <a href="chap9_mj.html#X7828496F7D72E232" >9.1-1</a> <br />code class="func" >PreCat3GroupByPreCat2Groups</code > <a href="chap9_mj.html#X7828496F7D72E232" >9.1-1</a> <br />code class="func" >PreCatnGroup</code > <a href="chap9_mj.html#X81C3D39A81B20D76" >9.3-1</a> <br />code class="func" >PreCrossedSquareByPreXMods</code > <a href="chap8_mj.html#X866A7FAC7FCB62C2" >8.2-1</a> <br />code class="func" >PreCrossedSquareMorphismByGroupHomomorphisms</code > <a href="chap8_mj.html#X83E733547A14FD61" >8.4-1</a> <br />code class="func" >PreCrossedSquareMorphismByPreXModMorphisms</code > <a href="chap8_mj.html#X83E733547A14FD61" >8.4-1</a> <br />code class="func" >PreXModByBoundaryAndAction</code > <a href="chap2_mj.html#X8487BE427858C5C9" >2.3-1</a> <br />code class="func" >PreXModMorphism</code > <a href="chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />code class="func" >PreXModMorphismByGroupHomomorphisms</code > <a href="chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />code class="func" >PreXModRecordOfPreCat1Group</code > <a href="chap2_mj.html#X82F10A59867C765D" >2.5-3</a> <br />code class="func" >PreXModWithObjectsByBoundaryAndAction</code > <a href="chap10_mj.html#X78F89CAB7A281B8F" >10.1-1</a> <br />code class="func" >PreXModWithTrivialRange</code > <a href="chap2_mj.html#X8487BE427858C5C9" >2.3-1</a> <br />code class="func" >PrincipalDerivation</code > <a href="chap5_mj.html#X7F119F9580C150B1" >5.1-2</a> <br />code class="func" >PrincipalDerivations</code > <a href="chap5_mj.html#X8452E45878691CD3" >5.2-4</a> <br />code class="func" >PrincipalDerivationSubgroup</code > <a href="chap5_mj.html#X8452E45878691CD3" >5.2-4</a> <br />"chap3_mj.html#X79C47E3D7855A117" >3.5</a> <br />code class="func" >QuasiIsomorphism</code > <a href="chap3_mj.html#X83365AF2812E5C04" >3.5-3</a> <br />code class="func" >QuotientQuasiIsomorphism</code > <a href="chap3_mj.html#X86F08B1981618400" >3.5-1</a> <br />code class="func" >Range</code > <a href="chap8_mj.html#X7DE8173F80E07AB1" >8.4-2</a> <br />"chap3_mj.html#X7FFD094F7FFB1F17" >3.1-1</a> <br />"chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />"chap2_mj.html#X790248A67CB9C33A" >2.1-9</a> <br />code class="func" >RangeEmbedding</code > <a href="chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />code class="func" >RangeEndomorphism</code > <a href="chap5_mj.html#X84463DE2872AA709" >5.3-2</a> <br />code class="func" >RangeHom</code > <a href="chap3_mj.html#X7FFD094F7FFB1F17" >3.1-1</a> <br />"chap5_mj.html#X7C01AE7783898705" >5.1</a> <br />code class="func" >RegularActionHomomorphism2DimensionalGroup</code >, for pre-cat1 morphisms <a href="chap3_mj.html#X7C6AF7C285D546B2" >3.3-3</a> <br />code class="func" >RegularDerivations</code > <a href="chap5_mj.html#X84CD856C84BDB019" >5.2-3</a> <br />code class="func" >RegularSections</code > <a href="chap5_mj.html#X813CAA17855172E4" >5.4-1</a> <br />"chap14_mj.html#X7C9734B880042C73" >14.1</a> <br />code class="func" >Right2DimensionalGroup</code >, for cat2-groups <a href="chap8_mj.html#X81BD4011837BCC2E" >8.5-2</a> <br />"chap8_mj.html#X828CFC5A83097189" >8.2-13</a> <br />code class="func" >Right2DimensionalMorphism</code > <a href="chap8_mj.html#X7DE8173F80E07AB1" >8.4-2</a> <br />code class="func" >Right3DimensionalGroup</code >, for cat3-groups <a href="chap9_mj.html#X85A5A6967D942463" >9.1-2</a> <br />code class="func" >Root2dGroup</code > <a href="chap10_mj.html#X797B1CD07C3682EE" >10.1-5</a> <br section , of cat1-group <a href="chap5_mj.html#X7C01AE7783898705" >5.1</a> <br />code class="func" >SectionByDerivation</code > <a href="chap5_mj.html#X7E1C72897CD31D66" >5.1-3</a> <br />code class="func" >SectionByHomomorphism</code > <a href="chap5_mj.html#X7E1C72897CD31D66" >5.1-3</a> <br />small cat<span class="SimpleMath" >\(^1\)</span >-group <a href="chap2_mj.html#X7A6A70BD86DE458D" >2.7</a> <br />code class="func" >SinglePieceDoubleGroupoid</code > <a href="chap11_mj.html#X78936F448231692E" >11.1-1</a> <br />code class="func" >SinglePiecePreXModWithObjects</code > <a href="chap10_mj.html#X86CD034F82F5F029" >10.1-2</a> <br />code class="func" >Size2d</code >, for cat1-groups <a href="chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />"chap2_mj.html#X7846A7D37957B89E" >2.1-11</a> <br />code class="func" >Size3d</code >, for 3d-objects <a href="chap8_mj.html#X7FA98BD47FF9B044" >8.2-2</a> <br />code class="func" >SmallCat1Group</code > <a href="chap13_mj.html#X8699357D7DC6279E" >13.1-1</a> <br />code class="func" >SmallerDegreePermutationRepresentation2DimensionalGroup</code >, for perm 2d-groups <a href="chap3_mj.html#X837B0299846C2391" >3.3-4</a> <br />code class="func" >Source </code > <a href="chap8_mj.html#X7DE8173F80E07AB1" >8.4-2</a> <br />"chap3_mj.html#X7FFD094F7FFB1F17" >3.1-1</a> <br />"chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />"chap2_mj.html#X790248A67CB9C33A" >2.1-9</a> <br />code class="func" >SourceEndomorphism</code > <a href="chap5_mj.html#X86AF32CA84217C46" >5.3-1</a> <br />code class="func" >SourceHom</code > <a href="chap3_mj.html#X7FFD094F7FFB1F17" >3.1-1</a> <br />code class="func" >SquareOfArrows</code > <a href="chap11_mj.html#X823A3A7481B90EB7" >11.1-2</a> <br />code class="func" >StabilizerSubgroupXMod</code > <a href="chap4_mj.html#X85640DD17F5A2949" >4.1-6</a> <br />code class="func" >StructureDescription</code >, for 2d-groups <a href="chap2_mj.html#X7831DB527CF9DD57" >2.8-1</a> <br />code class="func" >SubCat1Group</code > <a href="chap2_mj.html#X85D9C5F881DBA9FC" >2.4-6</a> <br />code class="func" >SubCat2Group</code > <a href="chap8_mj.html#X7DB082D282C52855" >8.5-9</a> <br />code class="func" >SubCrossedSquare</code > <a href="chap8_mj.html#X83F16E94857407F3" >8.3-1</a> <br />code class="func" >Subdiagonal2DimensionalGroup</code > <a href="chap8_mj.html#X82F896C7851294B7" >8.5-8</a> <br />code class="func" >SubPreCat1Group</code > <a href="chap2_mj.html#X85D9C5F881DBA9FC" >2.4-6</a> <br />code class="func" >SubPreCat2Group</code > <a href="chap8_mj.html#X7DB082D282C52855" >8.5-9</a> <br />code class="func" >SubPreCrossedSquare</code > <a href="chap8_mj.html#X83F16E94857407F3" >8.3-1</a> <br />code class="func" >SubPreXMod</code > <a href="chap2_mj.html#X8487BE427858C5C9" >2.3-1</a> <br />code class="func" >SubQuasiIsomorphism</code > <a href="chap3_mj.html#X7C4C1C587B8932A7" >3.5-2</a> <br />code class="func" >SubXMod</code > <a href="chap2_mj.html#X7884284383284A87" >2.2-2</a> <br />code class="func" >TailMap</code > <a href="chap2_mj.html#X7C4FFC4086531157" >2.4-2</a> <br />code class="func" >Transpose3DimensionalGroup</code >, for cat2-groups <a href="chap8_mj.html#X864B346686AAA522" >8.5-5</a> <br />"chap8_mj.html#X7F94830681EA19BE" >8.2-10</a> <br />code class="func" >TransposeCat1Group</code > <a href="chap2_mj.html#X79385660821E54A3" >2.4-4</a> <br />code class="func" >TransposeIsomorphism</code > <a href="chap2_mj.html#X79385660821E54A3" >2.4-4</a> <br />code class="func" >TrivialSub3DimensionalGroup</code > <a href="chap8_mj.html#X7D0D7F787D438D9A" >8.3-2</a> <br />code class="func" >TrivialSubCat2Group</code > <a href="chap8_mj.html#X838423B47FEE09B2" >8.5-10</a> <br />code class="func" >TrivialSubCrossedSquare</code > <a href="chap8_mj.html#X7D0D7F787D438D9A" >8.3-2</a> <br />code class="func" >TrivialSubPreCat2Group</code > <a href="chap8_mj.html#X838423B47FEE09B2" >8.5-10</a> <br />code class="func" >TrivialSubPreCrossedSquare</code > <a href="chap8_mj.html#X7D0D7F787D438D9A" >8.3-2</a> <br />code class="func" >TrivialSubXMod</code > <a href="chap2_mj.html#X7884284383284A87" >2.2-2</a> <br />"chap5_mj.html#X85CD9A43847AE1B8" >5.</a> <br />code class="func" >Up2DimensionalGroup</code >, for cat2-groups <a href="chap8_mj.html#X81BD4011837BCC2E" >8.5-2</a> <br />"chap8_mj.html#X828CFC5A83097189" >8.2-13</a> <br />code class="func" >Up2DimensionalMorphism</code > <a href="chap8_mj.html#X7DE8173F80E07AB1" >8.4-2</a> <br />code class="func" >Up3DimensionalGroup</code >, for cat3-groups <a href="chap9_mj.html#X85A5A6967D942463" >9.1-2</a> <br />code class="func" >UpGeneratorImages</code > <a href="chap5_mj.html#X83EC6F7780F5636E" >5.1-1</a> <br />code class="func" >UpHomomorphism</code > <a href="chap5_mj.html#X7E1C72897CD31D66" >5.1-3</a> <br />code class="func" >UpImagePositions</code > <a href="chap5_mj.html#X83EC6F7780F5636E" >5.1-1</a> <br />strong class="pkg" >GAP</strong > 3 <a href="chap15_mj.html#X848198AA862249C4" >15.1-1</a> <br />strong class="pkg" >GAP</strong > 4 <a href="chap15_mj.html#X7F9CE0487BB6F660" >15.1-3</a> <br />code class="func" >VerticalProduct</code > <a href="chap11_mj.html#X873F01287A2DC41F" >11.1-4</a> <br />"chap5_mj.html#X7C01AE7783898705" >5.1</a> <br />"chap5_mj.html#X7C01AE7783898705" >5.1</a> <br />"chap5_mj.html#X7C01AE7783898705" >5.1</a> <br />code class="func" >WhiteheadGroupIsomorphism</code > <a href="chap5_mj.html#X84CD856C84BDB019" >5.2-3</a> <br />code class="func" >WhiteheadGroupTable</code > <a href="chap5_mj.html#X84CD856C84BDB019" >5.2-3</a> <br />code class="func" >WhiteheadHomomorphism</code > <a href="chap5_mj.html#X8452E45878691CD3" >5.2-4</a> <br />code class="func" >WhiteheadMonoidTable</code > <a href="chap5_mj.html#X7CB1614E7EC58A84" >5.2-2</a> <br />code class="func" >WhiteheadOrder</code > <a href="chap5_mj.html#X7AD6E23F8254F400" >5.1-5</a> <br />code class="func" >WhiteheadPermGroup</code > <a href="chap5_mj.html#X84CD856C84BDB019" >5.2-3</a> <br />code class="func" >WhiteheadProduct</code > <a href="chap5_mj.html#X7AD6E23F8254F400" >5.1-5</a> <br />code class="func" >WhiteheadRegularGroup</code > <a href="chap5_mj.html#X84CD856C84BDB019" >5.2-3</a> <br />code class="func" >WhiteheadTransformationMonoid</code > <a href="chap5_mj.html#X7CB1614E7EC58A84" >5.2-2</a> <br />code class="func" >WhiteheadXMod</code > <a href="chap6_mj.html#X790EBC7C7D320C03" >6.1-2</a> <br code class="func" >XMod</code > <a href="chap2_mj.html#X7C8175AE7F76B586" >2.1-1</a> <br />code class="func" >XModAction</code >, for crossed modules of groupoids <a href="chap10_mj.html#X797B1CD07C3682EE" >10.1-5</a> <br />"chap2_mj.html#X790248A67CB9C33A" >2.1-9</a> <br />code class="func" >XModByAbelianModule</code > <a href="chap2_mj.html#X824631577864961E" >2.1-7</a> <br />code class="func" >XModByAutomorphismGroup</code > <a href="chap2_mj.html#X78B14FDA817CCEEF" >2.1-4</a> <br />code class="func" >XModByBoundaryAndAction</code > <a href="chap2_mj.html#X7C8175AE7F76B586" >2.1-1</a> <br />code class="func" >XModByCentralExtension</code > <a href="chap2_mj.html#X7D0F6FAA7AF69844" >2.1-5</a> <br />code class="func" >XModByGroupOfAutomorphisms</code > <a href="chap2_mj.html#X78B14FDA817CCEEF" >2.1-4</a> <br />code class="func" >XModByInnerAutomorphismGroup</code > <a href="chap2_mj.html#X78B14FDA817CCEEF" >2.1-4</a> <br />code class="func" >XModByNormalSubgroup</code > <a href="chap2_mj.html#X83050ED686776933" >2.1-2</a> <br />code class="func" >XModByPeifferQuotient</code > <a href="chap2_mj.html#X8527F4C07A8F359E" >2.3-2</a> <br />code class="func" >XModByPullback</code > <a href="chap2_mj.html#X84FA2B0A795B6997" >2.1-6</a> <br />code class="func" >XModByTrivialAction</code > <a href="chap2_mj.html#X867B2D53832EF05E" >2.1-3</a> <br />code class="func" >XModCentre</code > <a href="chap6_mj.html#X85CF21F57F0F1329" >6.1-3</a> <br />code class="func" >XModMorphism</code > <a href="chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />code class="func" >XModMorphismByGroupHomomorphisms</code > <a href="chap3_mj.html#X7CEABD6487CF2A38" >3.2-3</a> <br />code class="func" >XModMorphismOfCat1GroupMorphism</code > <a href="chap3_mj.html#X7D7459E67B568B44" >3.3-2</a> <br />code class="func" >XModOfCat1Group</code > <a href="chap2_mj.html#X82F10A59867C765D" >2.5-3</a> <br />div >div class="chlinkprevnextbot" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chapBib_mj.html" >[Previous Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a 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