\GAPDocLabFile{gpd}
\makelabel{gpd:Title page}{}{X7D2C85EC87DD46E5}
\makelabel{gpd:Abstract}{}{X7AA6C5737B711C89}
\makelabel{gpd:Copyright}{}{X81488B807F2A1CF1}
\makelabel{gpd:Acknowledgements}{}{X82A988D47DFAFCFA}
\makelabel{gpd:Table of Contents}{}{X8537FEB07AF2BEC8}
\makelabel{gpd:Many-object structures}{1}{X8361CEA4856430C6}
\makelabel{gpd:Magmas with objects; arrows}{1.1}{X7920BF45828AE5DE}
\makelabel{gpd:Semigroups with objects}{1.2}{X7FDF94E8791B9BC1}
\makelabel{gpd:Monoids with objects}{1.3}{X86C32E6981557ED0}
\makelabel{gpd:Structures with one or more pieces}{1.4}{X87B3A56F8231D0F3}
\makelabel{gpd:Homomorphisms of many-object structures}{2}{X85297B407ACAED81}
\makelabel{gpd:Homomorphisms of magmas with objects}{2.1}{X82F856A086B93832}
\makelabel{gpd:Homomorphisms of semigroups and monoids with objects}{2.2}{X7C4D1AEE80D41A35}
\makelabel{gpd:Homomorphisms to more than one piece}{2.3}{X795C8DE37AED7B44}
\makelabel{gpd:Groupoids}{3}{X82F6A1AB798648F4}
\makelabel{gpd:Groupoids: their properties and attributes}{3.1}{X7AC321DC7E3C6167}
\makelabel{gpd:Groupoid elements; stars; costars; homsets}{3.2}{X7F23BE3F85C9BA06}
\makelabel{gpd:Subgroupoids}{3.3}{X7BDBA72C852C4625}
\makelabel{gpd:Left, right and double cosets}{3.4}{X831AA9E8780235F2}
\makelabel{gpd:Conjugation}{3.5}{X8653FC9786E3209A}
\makelabel{gpd:Homomorphisms of Groupoids}{4}{X879ED2A7878B5A7A}
\makelabel{gpd:Homomorphisms from a connected groupoid}{4.1}{X85D28690823636CD}
\makelabel{gpd:Homomorphisms to a connected groupoid}{4.2}{X7EAAB2A97E097FB6}
\makelabel{gpd:Homomorphisms with more than one piece}{4.3}{X78658D9282AB7137}
\makelabel{gpd:Groupoid automorphisms}{4.4}{X7DE9C2D384323239}
\makelabel{gpd:Graphs of Groups and Groupoids}{5}{X78063DC8847554B4}
\makelabel{gpd:Digraphs}{5.1}{X7D554C5D7FDC3D02}
\makelabel{gpd:Graphs of Groups}{5.2}{X7BAFCA3680E478AE}
\makelabel{gpd:Words in a Graph of Groups and their normal forms}{5.3}{X7BD9DCF87FB3E0AF}
\makelabel{gpd:Free products with amalgamation and HNN extensions}{5.4}{X7D99A7B37B36BAA8}
\makelabel{gpd:GraphsOfGroupoids and their Words}{5.5}{X78108FB4814AE887}
\makelabel{gpd:Technical Notes}{6}{X7F2BA6DC7AD84FBC}
\makelabel{gpd:Many object structures}{6.1}{X7C5B725A7AED3C8D}
\makelabel{gpd:Many object homomorphisms}{6.2}{X7A4760E887C9C968}
\makelabel{gpd:Development History}{7}{X810C43BC7F63C4B4}
\makelabel{gpd:Versions of the Package}{7.1}{X8192EA4C7B7CC5CD}
\makelabel{gpd:What needs to be done next?}{7.2}{X82148FB77CC3CCC0}
\makelabel{gpd:Bibliography}{Bib}{X7A6F98FD85F02BFE}
\makelabel{gpd:References}{Bib}{X7A6F98FD85F02BFE}
\makelabel{gpd:Index}{Ind}{X83A0356F839C696F}
\makelabel{gpd:License}{}{X81488B807F2A1CF1}
\makelabel{gpd:MagmaWithObjects}{1.1.1}{X7C51D7847BD23284}
\makelabel{gpd:SinglePieceMagmaWithObjects}{1.1.1}{X7C51D7847BD23284}
\makelabel{gpd:ObjectList}{1.1.1}{X7C51D7847BD23284}
\makelabel{gpd:RootObject}{1.1.1}{X7C51D7847BD23284}
\makelabel{gpd:IsDomainWithObjects}{1.1.1}{X7C51D7847BD23284}
\makelabel{gpd:IsMagmaWithObjects}{1.1.1}{X7C51D7847BD23284}
\makelabel{gpd:Arrow}{1.1.2}{X86247DFC8242CEBE}
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\makelabel{gpd:HeadOfArrow}{1.1.2}{X86247DFC8242CEBE}
\makelabel{gpd:IsArrowIn}{1.1.2}{X86247DFC8242CEBE}
\makelabel{gpd:IsMultiplicativeElementWithObjects}{1.1.2}{X86247DFC8242CEBE}
\makelabel{gpd:IsSinglePiece}{1.1.3}{X7C0911667FF90DB2}
\makelabel{gpd:IsDirectProductWithCompleteGraph}{1.1.3}{X7C0911667FF90DB2}
\makelabel{gpd:IsDiscrete}{1.1.3}{X7C0911667FF90DB2}
\makelabel{gpd:SemigroupWithObjects}{1.2.1}{X8519787D833653A7}
\makelabel{gpd:SinglePieceSemigroupWithObjects}{1.2.1}{X8519787D833653A7}
\makelabel{gpd:MonoidWithObjects}{1.3.1}{X7A271B1A7F2FF245}
\makelabel{gpd:SinglePieceMonoidWithObjects}{1.3.1}{X7A271B1A7F2FF245}
\makelabel{gpd:GeneratorsOfMagmaWithObjects}{1.3.1}{X7A271B1A7F2FF245}
\makelabel{gpd:DomainWithSingleObject}{1.4.1}{X788262F87EDA9816}
\makelabel{gpd:UnionOfPieces}{1.4.2}{X79877FAA8556A726}
\makelabel{gpd:Pieces}{1.4.2}{X79877FAA8556A726}
\makelabel{gpd:MagmaWithObjectsHomomorphism}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:HomomorphismFromSinglePiece}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:HomomorphismToSinglePiece}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:PieceImages}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:HomsOfMapping}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:PiecesOfMapping}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:IsomorphismNewObjects}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:IsMappingToSinglePieceRep}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:Source}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:Range}{2.1.1}{X86E00FEA7FF38FEA}
\makelabel{gpd:HomomorphismByUnion}{2.3.1}{X86F313DB7EC4D9E7}
\makelabel{gpd:IsInjectiveOnObjects}{2.3.1}{X86F313DB7EC4D9E7}
\makelabel{gpd:IsSurjectiveOnObjects}{2.3.1}{X86F313DB7EC4D9E7}
\makelabel{gpd:IsBijectiveOnObjects}{2.3.1}{X86F313DB7EC4D9E7}
\makelabel{gpd:IsEndomorphismWithObjects}{2.3.1}{X86F313DB7EC4D9E7}
\makelabel{gpd:IsAutomorphismWithObjects}{2.3.1}{X86F313DB7EC4D9E7}
\makelabel{gpd:SinglePieceGroupoid}{3.1.1}{X8406913B7ED86CFE}
\makelabel{gpd:Groupoid}{3.1.1}{X8406913B7ED86CFE}
\makelabel{gpd:RootObject}{3.1.1}{X8406913B7ED86CFE}
\makelabel{gpd:IsPermGroupoid}{3.1.2}{X8511D3EE845CC930}
\makelabel{gpd:IsPcGroupoid}{3.1.2}{X8511D3EE845CC930}
\makelabel{gpd:IsFpGroupoid}{3.1.2}{X8511D3EE845CC930}
\makelabel{gpd:IsMatrixGroupoid}{3.1.2}{X8511D3EE845CC930}
\makelabel{gpd:UnionOfPieces}{3.1.3}{X79877FAA8556A726}
\makelabel{gpd:Pieces}{3.1.3}{X79877FAA8556A726}
\makelabel{gpd:Size}{3.1.3}{X79877FAA8556A726}
\makelabel{gpd:ReplaceOnePieceInUnion}{3.1.3}{X79877FAA8556A726}
\makelabel{gpd:ObjectList for groupoids}{3.1.3}{X79877FAA8556A726}
\makelabel{gpd:HomogeneousGroupoid}{3.1.4}{X855F318181808814}
\makelabel{gpd:HomogeneousDiscreteGroupoid}{3.1.4}{X855F318181808814}
\makelabel{gpd:IsHomogeneousDomainWithObjects}{3.1.4}{X855F318181808814}
\makelabel{gpd:IsHomogeneousDiscreteGroupoidRep}{3.1.4}{X855F318181808814}
\makelabel{gpd:Arrow}{3.2.1}{X86247DFC8242CEBE}
\makelabel{gpd:ElementOfArrow}{3.2.1}{X86247DFC8242CEBE}
\makelabel{gpd:TailOfArrow}{3.2.1}{X86247DFC8242CEBE}
\makelabel{gpd:HeadOfArrow}{3.2.1}{X86247DFC8242CEBE}
\makelabel{gpd:IsArrowIn}{3.2.1}{X86247DFC8242CEBE}
\makelabel{gpd:IdentityArrow}{3.2.2}{X78C3228682279032}
\makelabel{gpd:Order}{3.2.3}{X84F59A2687C62763}
\makelabel{gpd:loop}{3.2.3}{X84F59A2687C62763}
\makelabel{gpd:ObjectStar}{3.2.4}{X7B561BAE7D471C60}
\makelabel{gpd:ObjectCostar}{3.2.4}{X7B561BAE7D471C60}
\makelabel{gpd:Homset}{3.2.4}{X7B561BAE7D471C60}
\makelabel{gpd:Subgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:SubgroupoidByPieces}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:IsSubgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:FullSubgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:MaximalDiscreteSubgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:DiscreteSubgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:FullTrivialSubgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:DiscreteTrivialSubgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:IsWide}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:trivial subgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:tree groupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:identity subgroupoid}{3.3.1}{X80780D287EDDB7BB}
\makelabel{gpd:SubgroupoidWithRays}{3.3.2}{X873E0914871858E8}
\makelabel{gpd:RaysOfGroupoid}{3.3.2}{X873E0914871858E8}
\makelabel{gpd:RayElementsOfGroupoid}{3.3.2}{X873E0914871858E8}
\makelabel{gpd:rays}{3.3.2}{X873E0914871858E8}
\makelabel{gpd:Ancestor}{3.3.2}{X873E0914871858E8}
\makelabel{gpd:RightCoset}{3.4.1}{X8412ABD57986B9FC}
\makelabel{gpd:RightCosetRepresentatives}{3.4.1}{X8412ABD57986B9FC}
\makelabel{gpd:LeftCoset}{3.4.1}{X8412ABD57986B9FC}
\makelabel{gpd:LeftCosetRepresentatives}{3.4.1}{X8412ABD57986B9FC}
\makelabel{gpd:LeftCosetRepresentativesFromObject}{3.4.1}{X8412ABD57986B9FC}
\makelabel{gpd:DoubleCoset}{3.4.1}{X8412ABD57986B9FC}
\makelabel{gpd:DoubleCosetRepresentatives}{3.4.1}{X8412ABD57986B9FC}
\makelabel{gpd:ConjugateArrow}{3.5.1}{X851E390F87037421}
\makelabel{gpd:SinglePieceGroupoidByGenerators}{3.5.2}{X7C2727D285BA2EBE}
\makelabel{gpd:ConjugateGroupoid}{3.5.3}{X78218F357BFEDE82}
\makelabel{gpd:GroupoidHomomorphismFromSinglePiece}{4.1.1}{X870288C6803D9005}
\makelabel{gpd:GroupoidHomomorphismByGroupHom}{4.1.1}{X870288C6803D9005}
\makelabel{gpd:GroupoidHomomorphism}{4.1.1}{X870288C6803D9005}
\makelabel{gpd:InclusionMappingGroupoids}{4.1.1}{X870288C6803D9005}
\makelabel{gpd:RootObjectHomomorphism}{4.1.1}{X870288C6803D9005}
\makelabel{gpd:HomomorphismToSinglePiece}{4.2.1}{X7BE552BE7A1CA981}
\makelabel{gpd:IdentityMapping}{4.2.1}{X7BE552BE7A1CA981}
\makelabel{gpd:HomomorphismByUnion}{4.3.1}{X86F313DB7EC4D9E7}
\makelabel{gpd:GroupoidAutomorphismByObjectPerm}{4.4.1}{X79DA704A8051CB72}
\makelabel{gpd:GroupoidAutomorphismByGroupAuto}{4.4.1}{X79DA704A8051CB72}
\makelabel{gpd:GroupoidAutomorphismByRayImages}{4.4.1}{X79DA704A8051CB72}
\makelabel{gpd:AutomorphismGroup}{4.4.1}{X79DA704A8051CB72}
\makelabel{gpd:GroupoidAutomorphismByGroupAutos}{4.4.2}{X80F9594481CA9FDE}
\makelabel{gpd:FpWeightedDigraph}{5.1.1}{X85BD6D2584D8A22F}
\makelabel{gpd:IsFpWeightedDigraph}{5.1.1}{X85BD6D2584D8A22F}
\makelabel{gpd:InvolutoryArcs}{5.1.1}{X85BD6D2584D8A22F}
\makelabel{gpd:GraphOfGroups}{5.2.1}{X8130246E854BC5D9}
\makelabel{gpd:DigraphOfGraphOfGroups}{5.2.1}{X8130246E854BC5D9}
\makelabel{gpd:GroupsOfGraphOfGroups}{5.2.1}{X8130246E854BC5D9}
\makelabel{gpd:IsomorphismsOfGraphOfGroups}{5.2.1}{X8130246E854BC5D9}
\makelabel{gpd:IsGraphOfFpGroups}{5.2.2}{X847464677F641527}
\makelabel{gpd:IsGraphOfPcGroups}{5.2.2}{X847464677F641527}
\makelabel{gpd:IsGraphOfPermGroups}{5.2.2}{X847464677F641527}
\makelabel{gpd:RightTransversalsOfGraphOfGroups}{5.2.3}{X7B036C2B84E48BB1}
\makelabel{gpd:LeftTransversalsOfGraphOfGroups}{5.2.3}{X7B036C2B84E48BB1}
\makelabel{gpd:GraphOfGroupsWord}{5.3.1}{X87937AE47C5B1018}
\makelabel{gpd:IsGraphOfGroupsWord}{5.3.1}{X87937AE47C5B1018}
\makelabel{gpd:GraphOfGroupsOfWord}{5.3.1}{X87937AE47C5B1018}
\makelabel{gpd:WordOfGraphOfGroupsWord}{5.3.1}{X87937AE47C5B1018}
\makelabel{gpd:GGTail}{5.3.1}{X87937AE47C5B1018}
\makelabel{gpd:GGHead}{5.3.1}{X87937AE47C5B1018}
\makelabel{gpd:ReducedGraphOfGroupsWord}{5.3.2}{X78FA7C3F831AA6E4}
\makelabel{gpd:IsReducedGraphOfGroupsWord}{5.3.2}{X78FA7C3F831AA6E4}
\makelabel{gpd:FreeProductWithAmalgamation}{5.4.1}{X795AB71F7E370119}
\makelabel{gpd:IsFpaGroup}{5.4.1}{X795AB71F7E370119}
\makelabel{gpd:GraphOfGroupsRewritingSystem}{5.4.1}{X795AB71F7E370119}
\makelabel{gpd:NormalFormGGRWS}{5.4.1}{X795AB71F7E370119}
\makelabel{gpd:HnnExtension}{5.4.2}{X7CB0F120804A8DED}
\makelabel{gpd:IsHnnGroup}{5.4.2}{X7CB0F120804A8DED}
\makelabel{gpd:GraphOfGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:IsGraphOfPermGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:IsGraphOfFpGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:GroupoidsOfGraphOfGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:DigraphOfGraphOfGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:SubgroupoidsOfGraphOfGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:IsomorphismsOfGraphOfGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:RightTransversalsOfGraphOfGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:LeftTransversalsOfGraphOfGroupoids}{5.5.1}{X8739267678808E85}
\makelabel{gpd:GraphOfGroupoidsWord}{5.5.2}{X7EC1A9067FC91255}
\makelabel{gpd:IsGraphOfGroupoidsWord}{5.5.2}{X7EC1A9067FC91255}
\makelabel{gpd:GraphOfGroupoidsOfWord}{5.5.2}{X7EC1A9067FC91255}
\makelabel{gpd:WordOfGraphOfGroupoidsWord}{5.5.2}{X7EC1A9067FC91255}
\makelabel{gpd:ReducedGraphOfGroupoidsWord}{5.5.2}{X7EC1A9067FC91255}
\makelabel{gpd:IsReducedGraphOfGroupoidsWord}{5.5.2}{X7EC1A9067FC91255}
