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< div class= "chlinktop">< 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="chap8.html">8</a> <a href="chap9.html">9</a> <a href="chap10.html">10</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div>
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<h3>Index</h3>
* for groupoid elements <a href="chap4.html#X7D028B3B8385ED07">4.2-1</a> <br />
<code class="func">\^</code> <a href="chap4.html#X7D21FB1A7D21FB1A">4.5-1</a> <br />
\^, for arrows <a href="chap4.html#X8653FC9786E3209A">4.5</a> <br />
for groupoids <a href="chap4.html#X7D21FB1A7D21FB1A">4.5-1</a> <br />
<code class="func">ActionMap</code> <a href="chap6.html#X7C4DCB287B3DD0CD">6.3-1</a> <br />
<code class="func">Arrow</code> <a href="chap2.html#X86247DFC8242CEBE">2.1-3</a> <br />
<code class="code">Arrow</code>, for groupoid elements <a href="chap4.html#X7D028B3B8385ED07">4.2-1</a> <br />
<code class="code">AutomorphismGroup</code> <a href="chap6.html#X7DB9D5737EB8C260">6.1-4</a> <br />
<code class="func">AutomorphismGroupOfGroupoid</code> <a href="chap6.html#X7DB9D5737EB8C260">6.1-4</a> <br />
<code class="func">AutomorphismGroupoidOfGroupoid</code> <a href="chap6.html#X7A93C6507BC697CD">6.1-7</a> <br />
<code class="func">BoundaryOfSquare</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
<code class="func">ConjugateGroupoid</code> <a href="chap4.html#X78218F357BFEDE82">4.5-2</a> <br />
conjugation identities <a href="chap6.html#X7DB8E7EF7A51F1BE">6.3</a> <br />
<a href="chap4.html#X831AA9E8780235F2">4.4</a> <a href="chap4.html#X7B561BAE7D471C60">4.2-4</a> <br />
<code class="func">DigraphOfGraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">DigraphOfGraphOfGroups</code> <a href="chap7.html#X8130246E854BC5D9">7.2-1</a> <br />
<code class="func">DirectProductOp</code> <a href="chap4.html#X78E8FE0C7F599F5A">4.1-6</a> <br />
<code class="func">DiscreteSubgroupoid</code> <a href="chap4.html#X7ACFBE7D855A82A3">4.3-7</a> <br />
<code class="func">DiscreteTrivialSubgroupoid</code> <a href="chap4.html#X7FE8F09A7C8CEC5B">4.3-6</a> <br />
<a href="chap4.html#X831AA9E8780235F2">4.4</a> <br />
<code class="func">DoubleCoset</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">DoubleCosetRepresentatives</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">DoubleCosets</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">DoubleGroupoid</code> <a href="chap8.html#X7F5D722C83CB9139">8.1-1</a> <br />
<code class="func">DoubleGroupoidHomomorphism</code> <a href="chap8.html#X87752436787B199D">8.5-1</a> <br />
<code class="func">DoubleGroupoidOfSquare</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
<code class="func">DoubleGroupoidWithSingleObject</code> <a href="chap8.html#X7D135AFB83995A32">8.3-2</a> <br />
<code class="func">DoubleGroupoidWithTrivialGroup</code> <a href="chap8.html#X80009143808725D5">8.3-1</a> <br />
<code class="func">DownArrow</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
<code class="func">ElementOfArrow</code>, for groupoids <a href="chap4.html#X7D028B3B8385ED07">4.2-1</a> <br />
for magmas with objects <a href="chap2.html#X86247DFC8242CEBE">2.1-3</a> <br />
<code class="func">Embedding</code>, for fpa-groups <a href="chap7.html#X86F5F9787E3644FD">7.4-2</a> <br />
for groupoids <a href="chap4.html#X78E8FE0C7F599F5A">4.1-6</a> <br />
<code class="func">FpWeightedDigraph</code> <a href="chap7.html#X85BD6D2584D8A22F">7.1-1</a> <br />
<code class="func">FreeProductWithAmalgamation</code> <a href="chap7.html#X795AB71F7E370119">7.4-1</a> <br />
<code class="func">FreeProductWithAmalgamationInfo</code> <a href="chap7.html#X795AB71F7E370119">7.4-1</a> <br />
<code class="func">FullTrivialSubgroupoid</code> <a href="chap4.html#X7FE8F09A7C8CEC5B">4.3-6</a> <br />
<code class="func">GeneratorsOfMagmaWithObjects</code> <a href="chap2.html#X83239B307EE95054">2.4-1</a> <br />
<code class="func">GeneratorsOfMonoidWithObjects</code> <a href="chap2.html#X83239B307EE95054">2.4-1</a> <br />
<code class="func">GeneratorsOfSemigroupWithObjects</code> <a href="chap2.html#X83239B307EE95054">2.4-1</a> <br />
<code class="func">GraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">GraphOfGroupoidsOfWord</code> <a href="chap7.html#X7EC1A9067FC91255">7.5-2</a> <br />
<code class="func">GraphOfGroupoidsWord</code> <a href="chap7.html#X7EC1A9067FC91255">7.5-2</a> <br />
<code class="func">GraphOfGroups</code> <a href="chap7.html#X8130246E854BC5D9">7.2-1</a> <br />
<code class="func">GraphOfGroupsOfWord</code> <a href="chap7.html#X87937AE47C5B1018">7.3-1</a> <br />
<code class="func">GraphOfGroupsRewritingSystem</code> <a href="chap7.html#X795AB71F7E370119">7.4-1</a> <br />
<code class="func">GraphOfGroupsWord</code> <a href="chap7.html#X87937AE47C5B1018">7.3-1</a> <br />
<code class="func">Groupoid</code> <a href="chap4.html#X8406913B7ED86CFE">4.1-1</a> <br />
groupoid action <a href="chap6.html#X7DB8E7EF7A51F1BE">6.3</a> <br />
<code class="func">GroupoidActionByConjugation</code> <a href="chap6.html#X7C4DCB287B3DD0CD">6.3-1</a> <br />
<code class="func">GroupoidAutomorphismByGroupAuto</code> <a href="chap6.html#X79DA704A8051CB72">6.1-1</a> <br />
<code class="func">GroupoidAutomorphismByGroupAutos</code> <a href="chap6.html#X80F9594481CA9FDE">6.1-6</a> <br />
<code class="func">GroupoidAutomorphismByNtuple</code> <a href="chap6.html#X79DA704A8051CB72">6.1-1</a> <br />
<code class="func">GroupoidAutomorphismByObjectPerm</code> <a href="chap6.html#X79DA704A8051CB72">6.1-1</a> <br />
<code class="func">GroupoidAutomorphismByRayShifts</code> <a href="chap6.html#X79DA704A8051CB72">6.1-1</a> <br />
<code class="func">GroupoidByIsomorphisms</code> <a href="chap4.html#X7B066DE28574A768">4.6-1</a> <br />
<code class="func">GroupoidElement</code> <a href="chap4.html#X7D028B3B8385ED07">4.2-1</a> <br />
<code class="func">GroupoidHomomorphism</code> <a href="chap5.html#X870288C6803D9005">5.1-1</a> <br />
<code class="func">GroupoidHomomorphismFromHomogeneousDiscrete</code> <a href="chap5.html#X87225D86785DEBC2">5.4-2</a> <br />
<code class="func">GroupoidHomomorphismFromSinglePiece</code> <a href="chap5.html#X870288C6803D9005">5.1-1</a> <br />
<code class="func">GroupoidInnerAutomorphism</code> <a href="chap6.html#X86BD61567B41B139">6.1-2</a> <br />
<code class="func">GroupoidInnerAutomorphismNormalSubgroupoid</code> <a href="chap6.html#X86BD61567B41B139">6.1-2</a> <br />
<code class="func">GroupoidsOfGraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">GroupsOfGraphOfGroups</code> <a href="chap7.html#X8130246E854BC5D9">7.2-1</a> <br />
<code class="func">HeadOfArrow</code>, for groupoids <a href="chap4.html#X7D028B3B8385ED07">4.2-1</a> <br />
for magmas with objects <a href="chap2.html#X86247DFC8242CEBE">2.1-3</a> <br />
<code class="func">HeadOfGraphOfGroupsWord</code> <a href="chap7.html#X87937AE47C5B1018">7.3-1</a> <br />
<code class="func">HnnExtension</code> <a href="chap7.html#X7CB0F120804A8DED">7.4-3</a> <br />
<code class="func">HnnExtensionInfo</code> <a href="chap7.html#X7CB0F120804A8DED">7.4-3</a> <br />
<code class="func">HomogeneousDiscreteGroupoid</code> <a href="chap4.html#X855F318181808814">4.1-5</a> <br />
<code class="func">HomogeneousDiscreteSubgroupoid</code> <a href="chap4.html#X7ACFBE7D855A82A3">4.3-7</a> <br />
<code class="func">HomogeneousGroupoid</code> <a href="chap4.html#X855F318181808814">4.1-5</a> <br />
<code class="func">HomomorphismByUnion</code>, for groupoids <a href="chap5.html#X847094F478113EA6">5.5-1</a> <br />
for magmas with objects <a href="chap3.html#X7AE44D9485EB50F1">3.3-1</a> <br />
<code class="func">HomomorphismFromSinglePiece</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">HomomorphismToSinglePiece</code>, for groupoids <a href="chap5.html#X8700B5977B2513C1">5.4-1</a> <br />
for magmas with objects <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">Homset</code> <a href="chap4.html#X7B561BAE7D471C60">4.2-4</a> <br />
<a href="chap8.html#X7B8DEF5A7B5AEC46">8.1-8</a> <br />
<code class="func">HorizontalIdentities</code> <a href="chap8.html#X79E6E4E97A23C257">8.1-7</a> <br />
<code class="func">HorizontalInverses</code> <a href="chap8.html#X79E6E4E97A23C257">8.1-7</a> <br />
<code class="func">HorizontalProduct</code> <a href="chap8.html#X7D3737FA7E9E3ECA">8.1-5</a> <br />
identity subgroupoid <a href="chap4.html#X7FE8F09A7C8CEC5B">4.3-6</a> <br />
<code class="func">IdentityArrow</code> <a href="chap4.html#X78C3228682279032">4.2-2</a> <br />
<code class="func">ImageElementsOfRays</code> <a href="chap5.html#X791DC3F3852A6422">5.2-5</a> <br />
<code class="func">ImagesOfObjects</code> <a href="chap5.html#X837EEB9578EA1A78">5.2-4</a> <br />
<code class="func">InclusionMappingGroupoids</code> <a href="chap5.html#X855DB6C8815CDCC3">5.3-1</a> <br />
inner automorphism <a href="chap6.html#X86BD61567B41B139">6.1-2</a> <br />
inner automorphism group <a href="chap6.html#X7EC237ED7E1978B0">6.1-5</a> <br />
inverse arrow <a href="chap4.html#X78C3228682279032">4.2-2</a> <br />
<code class="func">InvolutoryArcs</code> <a href="chap7.html#X85BD6D2584D8A22F">7.1-1</a> <br />
<code class="func">IsAutomorphismWithObjects</code> <a href="chap3.html#X7C053B0379DDCE13">3.3-2</a> <br />
, for groupoid homomorphisms <a href="chap5.html#X83DDA9528396451A">5.2-1</a> <br />
<code class="func">IsBasicDoubleGroupoid</code> <a href="chap8.html#X7F5D722C83CB9139">8.1-1</a> <br />
<code class="func">IsBijectiveOnObjects</code> <a href="chap3.html#X7C053B0379DDCE13">3.3-2</a> <br />
, for groupoid homomorphisms <a href="chap5.html#X83DDA9528396451A">5.2-1</a> <br />
<code class="func">IsClosedUnderTransposition</code> <a href="chap8.html#X7F99A468819D7759">8.1-4</a> <br />
<code class="func">IsCommutingSquare</code> <a href="chap8.html#X83DF8EEE7BA72AA3">8.1-3</a> <br />
<code class="func">IsDirectProductWithCompleteDigraph</code> <a href="chap2.html#X7B3352148103FD05">2.1-4</a> <br />
<code class="func">IsDiscreteMagmaWithObjects</code> <a href="chap2.html#X7B3352148103FD05">2.1-4</a> <br />
<code class="func">IsDomainWithObjects</code> <a href="chap2.html#X87D1C0BC86749E6D">2.1-2</a> <br />
<code class="func">IsDoubleGroupoid</code> <a href="chap8.html#X7F5D722C83CB9139">8.1-1</a> <br />
<code class="func">IsDoubleGroupoidElement</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
<code class="func">IsDoubleGroupoidHomomorphism</code> <a href="chap8.html#X87752436787B199D">8.5-1</a> <br />
<code class="func">IsEndomorphismWithObjects</code> <a href="chap3.html#X7C053B0379DDCE13">3.3-2</a> <br />
, for groupoid homomorphisms <a href="chap5.html#X83DDA9528396451A">5.2-1</a> <br />
<code class="func">IsFpGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a> <br />
<code class="func">IsFpWeightedDigraph</code> <a href="chap7.html#X85BD6D2584D8A22F">7.1-1</a> <br />
<code class="func">IsFreeGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a> <br />
<code class="func">IsFreeProductWithAmalgamation</code> <a href="chap7.html#X795AB71F7E370119">7.4-1</a> <br />
<code class="func">IsFullSubgroupoid</code> <a href="chap4.html#X80780D287EDDB7BB">4.3-1</a> <br />
<code class="func">IsGraphOfFpGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">IsGraphOfFpGroups</code> <a href="chap7.html#X847464677F641527">7.2-2</a> <br />
<code class="func">IsGraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">IsGraphOfGroupoidsWord</code> <a href="chap7.html#X7EC1A9067FC91255">7.5-2</a> <br />
<code class="func">IsGraphOfGroups</code> <a href="chap7.html#X8130246E854BC5D9">7.2-1</a> <br />
<code class="func">IsGraphOfGroupsWord</code> <a href="chap7.html#X87937AE47C5B1018">7.3-1</a> <br />
<code class="func">IsGraphOfPcGroups</code> <a href="chap7.html#X847464677F641527">7.2-2</a> <br />
<code class="func">IsGraphOfPermGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">IsGraphOfPermGroups</code> <a href="chap7.html#X847464677F641527">7.2-2</a> <br />
<code class="func">IsGroupoid</code> <a href="chap4.html#X8406913B7ED86CFE">4.1-1</a> <br />
<code class="func">IsGroupoidAction</code> <a href="chap6.html#X7C4DCB287B3DD0CD">6.3-1</a> <br />
<code class="func">IsGroupoidByIsomorphisms</code> <a href="chap4.html#X7B066DE28574A768">4.6-1</a> <br />
<code class="func">IsGroupoidElement</code> <a href="chap4.html#X7D028B3B8385ED07">4.2-1</a> <br />
<code class="func">IsGroupoidHomomorphism</code> <a href="chap5.html#X870288C6803D9005">5.1-1</a> <br />
<code class="func">IsGroupoidWithMonoidObjects</code> <a href="chap4.html#X7E399664868937C8">4.7-2</a> <br />
<code class="func">IsHnnExtension</code> <a href="chap7.html#X7CB0F120804A8DED">7.4-3</a> <br />
<code class="code">IsHomogeneousDomainWithObjects</code> <a href="chap4.html#X855F318181808814">4.1-5</a> <br />
<code class="code">IsHomogeneousDiscreteGroupoidRep</code> <a href="chap4.html#X855F318181808814">4.1-5</a> <br />
, for groupoid homomorphisms <a href="chap5.html#X83DDA9528396451A">5.2-1</a> <br />
<code class="func">IsInjectiveOnObjects</code> <a href="chap3.html#X7C053B0379DDCE13">3.3-2</a> <br />
, for groupoid homomorphisms <a href="chap5.html#X83DDA9528396451A">5.2-1</a> <br />
<code class="func">IsMagmaWithObjects</code> <a href="chap2.html#X87D1C0BC86749E6D">2.1-2</a> <br />
<code class="func">IsMappingToGroupWithGGRWS</code> <a href="chap7.html#X86F5F9787E3644FD">7.4-2</a> <br />
<code class="code">IsMappingToSinglePieceRep</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">IsMappingWithObjectsByFunction</code> <a href="chap3.html#X81B64F9A855D265F">3.4-1</a> <br />
<code class="func">IsMatrixGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a> <br />
<code class="func">IsMonoidWithObjects</code> <a href="chap2.html#X7A271B1A7F2FF245">2.3-1</a> <br />
<code class="code">IsMultiplicativeElementWithObjects</code> <a href="chap2.html#X86247DFC8242CEBE">2.1-3</a> <br />
<code class="func">IsomorphismGroupoids</code> <a href="chap5.html#X7E2C6BCC7AAB25BE">5.5-2</a> <br />
<code class="func">IsomorphismNewObjects</code>, for groupoids <a href="chap5.html#X83B8AB6D7C9DB264">5.3-3</a> <br />
for magmas with objects <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">IsomorphismPcGroupoid</code> <a href="chap5.html#X7CF33CCD8278A904">5.3-5</a> <br />
<code class="func">IsomorphismPermGroupoid</code> <a href="chap5.html#X7CF33CCD8278A904">5.3-5</a> <br />
<code class="func">IsomorphismsOfGraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">IsomorphismsOfGraphOfGroups</code> <a href="chap7.html#X8130246E854BC5D9">7.2-1</a> <br />
<code class="func">IsomorphismStandardGroupoid</code> <a href="chap5.html#X87C54BB581181400">5.3-4</a> <br />
<code class="func">IsPcGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a> <br />
<code class="func">IsPermGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a> <br />
<code class="func">IsReducedGraphOfGroupoidsWord</code> <a href="chap7.html#X7EC1A9067FC91255">7.5-2</a> <br />
<code class="func">IsReducedGraphOfGroupsWord</code> <a href="chap7.html#X78FA7C3F831AA6E4">7.3-2</a> <br />
<code class="func">IsSemigroupWithObjects</code> <a href="chap2.html#X8519787D833653A7">2.2-1</a> <br />
<code class="func">IsSinglePiece</code> <a href="chap2.html#X7B3352148103FD05">2.1-4</a> <br />
<code class="func">IsSinglePieceDomain</code> <a href="chap2.html#X7B3352148103FD05">2.1-4</a> <br />
<code class="func">IsSubgroupoid</code> <a href="chap4.html#X80780D287EDDB7BB">4.3-1</a> <br />
, for groupoid homomorphisms <a href="chap5.html#X83DDA9528396451A">5.2-1</a> <br />
<code class="func">IsSurjectiveOnObjects</code> <a href="chap3.html#X7C053B0379DDCE13">3.3-2</a> <br />
, for groupoid homomorphisms <a href="chap5.html#X83DDA9528396451A">5.2-1</a> <br />
<code class="func">IsWideSubgroupoid</code> <a href="chap4.html#X80780D287EDDB7BB">4.3-1</a> <br />
<code class="func">LeftArrow</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
<code class="func">LeftCoset</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">LeftCosetRepresentatives</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">LeftCosetRepresentativesFromObject</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">LeftCosets</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">LeftTransversalsOfGraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">LeftTransversalsOfGraphOfGroups</code> <a href="chap7.html#X7B036C2B84E48BB1">7.2-3</a> <br />
loop <a href="chap4.html#X84F59A2687C62763">4.2-3</a> <br />
<code class="func">MagmaWithObjects</code> <a href="chap2.html#X7C51D7847BD23284">2.1-1</a> <br />
<code class="func">MagmaWithObjectsHomomorphism</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">MagmaWithSingleObject</code>, for groups <a href="chap4.html#X8406913B7ED86CFE">4.1-1</a> <br />
for semigroups <a href="chap2.html#X8519787D833653A7">2.2-1</a> <br />
<code class="func">MappingToSinglePieceData</code>, for groupoids <a href="chap5.html#X8391526C7A02FF19">5.2-6</a> <br />
for magmas with objects <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">MappingWithObjectsByFunction</code> <a href="chap3.html#X81B64F9A855D265F">3.4-1</a> <br />
matrix representation <a href="chap6.html#X8003AF117B956D16">6.2</a> <br />
<code class="func">MaximalDiscreteSubgroupoid</code> <a href="chap4.html#X7ACFBE7D855A82A3">4.3-7</a> <br />
<code class="func">MonoidWithObjects</code> <a href="chap2.html#X7A271B1A7F2FF245">2.3-1</a> <br />
<code class="func">NiceObjectAutoGroupGroupoid</code> <a href="chap6.html#X7DB9D5737EB8C260">6.1-4</a> <br />
<code class="func">NormalFormGGRWS</code> <a href="chap7.html#X795AB71F7E370119">7.4-1</a> <br />
<code class="func">ObjectCostar</code> <a href="chap4.html#X7B561BAE7D471C60">4.2-4</a> <br />
<code class="func">ObjectGroup</code> <a href="chap4.html#X813B084184AAA890">4.1-2</a> <br />
<code class="func">ObjectGroupHomomorphism</code> <a href="chap5.html#X7C6775A178DB9D39">5.2-7</a> <br />
<code class="func">ObjectList</code>, for groupoids <a href="chap4.html#X813B084184AAA890">4.1-2</a> <br />
<code class="code">ObjectList</code>, for groupoids <a href="chap4.html#X8681D15C7CA15F87">4.1-4</a> <br />
<code class="func">ObjectList</code>, for magmas with objects <a href="chap2.html#X7C51D7847BD23284">2.1-1</a> <br />
<code class="func">ObjectStar</code> <a href="chap4.html#X7B561BAE7D471C60">4.2-4</a> <br />
<code class="func">Order</code> <a href="chap4.html#X84F59A2687C62763">4.2-3</a> <br />
<code class="func">ParentMappingGroupoids</code> <a href="chap5.html#X7946BC207D455A98">5.3-2</a> <br />
<code class="func">PieceIsomorphisms</code> <a href="chap4.html#X855F318181808814">4.1-5</a> <br />
<code class="func">PieceOfObject</code> <a href="chap2.html#X781FB06382E08115">2.5-1</a> <br />
<code class="func">PiecePositions</code> <a href="chap4.html#X78C7A83980BAE937">4.3-5</a> <br />
<code class="func">Pieces</code>, for double groupoids <a href="chap8.html#X8589EFAE7935BEA6">8.2-1</a> <br />
for groupoids <a href="chap4.html#X8681D15C7CA15F87">4.1-4</a> <br />
for magmas with objects <a href="chap2.html#X781FB06382E08115">2.5-1</a> <br />
<code class="func">PiecesOfMapping</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">Projection</code>, for groupoids <a href="chap4.html#X78E8FE0C7F599F5A">4.1-6</a> <br />
<code class="code">Range</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">RayArrowsOfGroupoid</code> <a href="chap4.html#X873E0914871858E8">4.3-3</a> <br />
<a href="chap4.html#X82F6A1AB798648F4">4.</a> <br />
<code class="func">RaysOfGroupoid</code> <a href="chap4.html#X873E0914871858E8">4.3-3</a> <br />
<code class="func">ReducedGraphOfGroupoidsWord</code> <a href="chap7.html#X7EC1A9067FC91255">7.5-2</a> <br />
<code class="func">ReducedGraphOfGroupsWord</code> <a href="chap7.html#X78FA7C3F831AA6E4">7.3-2</a> <br />
<code class="func">ReducedImageElm</code> <a href="chap7.html#X86F5F9787E3644FD">7.4-2</a> <br />
<code class="func">RegularActionHomomorphismGroupoid</code> <a href="chap5.html#X7CF33CCD8278A904">5.3-5</a> <br />
<code class="func">ReplaceOnePieceInUnion</code> <a href="chap4.html#X8681D15C7CA15F87">4.1-4</a> <br />
representation by matrices <a href="chap6.html#X8003AF117B956D16">6.2</a> <br />
<code class="func">RestrictedMappingGroupoids</code> <a href="chap5.html#X7946BC207D455A98">5.3-2</a> <br />
<code class="func">RightActionGroupoid</code> <a href="chap4.html#X7E399664868937C8">4.7-2</a> <br />
<code class="func">RightArrow</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
<code class="func">RightCoset</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">RightCosetRepresentatives</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">RightCosets</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a> <br />
<code class="func">RightTransversalsOfGraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">RightTransversalsOfGraphOfGroups</code> <a href="chap7.html#X7B036C2B84E48BB1">7.2-3</a> <br />
<code class="func">RootGroup</code> <a href="chap4.html#X813B084184AAA890">4.1-2</a> <br />
<code class="func">RootGroupHomomorphism</code> <a href="chap5.html#X85A99D8A83511DDE">5.2-3</a> <br />
<code class="func">RootObject</code>, for groupoids <a href="chap4.html#X813B084184AAA890">4.1-2</a> <br />
for magmas with objects <a href="chap2.html#X7C51D7847BD23284">2.1-1</a> <br />
<code class="func">SemigroupWithObjects</code> <a href="chap2.html#X8519787D833653A7">2.2-1</a> <br />
<code class="func">SinglePieceBasicDoubleGroupoid</code> <a href="chap8.html#X7F5D722C83CB9139">8.1-1</a> <br />
<code class="func">SinglePieceGroupoid</code> <a href="chap4.html#X8406913B7ED86CFE">4.1-1</a> <br />
<code class="func">SinglePieceGroupoidWithRays</code> <a href="chap4.html#X805FA9F687C7F2A7">4.7-1</a> <br />
<code class="func">SinglePieceMagmaWithObjects</code> <a href="chap2.html#X7C51D7847BD23284">2.1-1</a> <br />
<code class="func">SinglePieceMonoidWithObjects</code> <a href="chap2.html#X7A271B1A7F2FF245">2.3-1</a> <br />
<code class="func">SinglePieceSemigroupWithObjects</code> <a href="chap2.html#X8519787D833653A7">2.2-1</a> <br />
<code class="func">SinglePieceSubgroupoidByGenerators</code> <a href="chap4.html#X7A9F29BD7D64DCC1">4.3-8</a> <br />
<code class="func">Size</code> <a href="chap4.html#X8681D15C7CA15F87">4.1-4</a> <br />
<code class="code">Source</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a> <br />
<code class="func">SquareOfArrows</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
standard groupoid <a href="chap4.html#X8406913B7ED86CFE">4.1-1</a> <br />
<a href="chap4.html#X7B561BAE7D471C60">4.2-4</a> <br />
<code class="func">Subgroupoid</code> <a href="chap4.html#X80780D287EDDB7BB">4.3-1</a> <br />
<code class="func">SubgroupoidByObjects</code> <a href="chap4.html#X8600FA7B8051C9AC">4.3-2</a> <br />
<code class="func">SubgroupoidByPieces</code> <a href="chap4.html#X7AEA9BF780CD6957">4.3-4</a> <br />
<code class="func">SubgroupoidBySubgroup</code> <a href="chap4.html#X8600FA7B8051C9AC">4.3-2</a> <br />
<code class="func">SubgroupoidsOfGraphOfGroupoids</code> <a href="chap7.html#X8739267678808E85">7.5-1</a> <br />
<code class="func">SubgroupoidWithRays</code> <a href="chap4.html#X873E0914871858E8">4.3-3</a> <br />
<code class="func">TailOfArrow</code>, for groupoids <a href="chap4.html#X7D028B3B8385ED07">4.2-1</a> <br />
for magmas with objects <a href="chap2.html#X86247DFC8242CEBE">2.1-3</a> <br />
<code class="func">TailOfGraphOfGroupsWord</code> <a href="chap7.html#X87937AE47C5B1018">7.3-1</a> <br />
<code class="func">TransposedSquare</code> <a href="chap8.html#X7F99A468819D7759">8.1-4</a> <br />
tree groupoid <a href="chap4.html#X7FE8F09A7C8CEC5B">4.3-6</a> <br />
trivial subgroupoid <a href="chap4.html#X7FE8F09A7C8CEC5B">4.3-6</a> <br />
<code class="func">UnderlyingFunction</code> <a href="chap3.html#X81B64F9A855D265F">3.4-1</a> <br />
<code class="func">UnionOfPieces</code>, for double groupoids <a href="chap8.html#X8589EFAE7935BEA6">8.2-1</a> <br />
for groupoids <a href="chap4.html#X8681D15C7CA15F87">4.1-4</a> <br />
for magmas with objects <a href="chap2.html#X781FB06382E08115">2.5-1</a> <br />
<code class="func">UpArrow</code> <a href="chap8.html#X823A3A7481B90EB7">8.1-2</a> <br />
<a href="chap8.html#X7B8DEF5A7B5AEC46">8.1-8</a> <br />
<code class="func">VerticalIdentities</code> <a href="chap8.html#X79E6E4E97A23C257">8.1-7</a> <br />
<code class="func">VerticalInverses</code> <a href="chap8.html#X79E6E4E97A23C257">8.1-7</a> <br />
<code class="func">VerticalProduct</code> <a href="chap8.html#X873F01287A2DC41F">8.1-6</a> <br />
<code class="func">WordOfGraphOfGroupoidsWord</code> <a href="chap7.html#X7EC1A9067FC91255">7.5-2</a> <br />
<code class="func">WordOfGraphOfGroupsWord</code> <a href="chap7.html#X87937AE47C5B1018">7.3-1</a> <br />
<p> </p>
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