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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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