\^ 4.5-1 ActionMap 6.3-1 Arrow 2.1-3 Arrow, for groupoid elements 4.2-1 AutomorphismGroup 6.1-4 AutomorphismGroupOfGroupoid 6.1-4 AutomorphismGroupoidOfGroupoid 6.1-7 BoundaryOfSquare 8.1-2 ConjugateGroupoid 4.5-2 DigraphOfGraphOfGroupoids 7.5-1 DigraphOfGraphOfGroups 7.2-1 DirectProductOp 4.1-6 DiscreteSubgroupoid 4.3-7 DiscreteTrivialSubgroupoid 4.3-6 DoubleCoset 4.4-1 DoubleCosetRepresentatives 4.4-1 DoubleCosets 4.4-1 DoubleGroupoid 8.1-1 DoubleGroupoidHomomorphism 8.5-1 DoubleGroupoidOfSquare 8.1-2 DoubleGroupoidWithSingleObject 8.3-2 DoubleGroupoidWithTrivialGroup 8.3-1 DownArrow 8.1-2 ElementOfArrow, for groupoids 4.2-1 Embedding, for fpa-groups 7.4-2 FpWeightedDigraph 7.1-1 FreeProductWithAmalgamation 7.4-1 FreeProductWithAmalgamationInfo 7.4-1 FullTrivialSubgroupoid 4.3-6 GeneratorsOfMagmaWithObjects 2.4-1 GeneratorsOfMonoidWithObjects 2.4-1 GeneratorsOfSemigroupWithObjects 2.4-1 GraphOfGroupoids 7.5-1 GraphOfGroupoidsOfWord 7.5-2 GraphOfGroupoidsWord 7.5-2 GraphOfGroups 7.2-1 GraphOfGroupsOfWord 7.3-1 GraphOfGroupsRewritingSystem 7.4-1 GraphOfGroupsWord 7.3-1 Groupoid 4.1-1 GroupoidActionByConjugation 6.3-1 GroupoidAutomorphismByGroupAuto 6.1-1 GroupoidAutomorphismByGroupAutos 6.1-6 GroupoidAutomorphismByNtuple 6.1-1 GroupoidAutomorphismByObjectPerm 6.1-1 GroupoidAutomorphismByRayShifts 6.1-1 GroupoidByIsomorphisms 4.6-1 GroupoidElement 4.2-1 GroupoidHomomorphism 5.1-1 GroupoidHomomorphismFromHomogeneousDiscrete 5.4-2 GroupoidHomomorphismFromSinglePiece 5.1-1 GroupoidInnerAutomorphism 6.1-2 GroupoidInnerAutomorphismNormalSubgroupoid 6.1-2 GroupoidsOfGraphOfGroupoids 7.5-1 GroupsOfGraphOfGroups 7.2-1 HeadOfArrow, for groupoids 4.2-1 HeadOfGraphOfGroupsWord 7.3-1 HnnExtension 7.4-3 HnnExtensionInfo 7.4-3 HomogeneousDiscreteGroupoid 4.1-5 HomogeneousDiscreteSubgroupoid 4.3-7 HomogeneousGroupoid 4.1-5 HomomorphismByUnion, for groupoids 5.5-1 HomomorphismFromSinglePiece 3.1-1 HomomorphismToSinglePiece, for groupoids 5.4-1 Homset 4.2-4 HorizontalIdentities 8.1-7 HorizontalInverses 8.1-7 HorizontalProduct 8.1-5 IdentityArrow 4.2-2 ImageElementsOfRays 5.2-5 ImagesOfObjects 5.2-4 InclusionMappingGroupoids 5.3-1 InvolutoryArcs 7.1-1 IsAutomorphismWithObjects 3.3-2 IsBasicDoubleGroupoid 8.1-1 IsBijectiveOnObjects 3.3-2 IsClosedUnderTransposition 8.1-4 IsCommutingSquare 8.1-3 IsDirectProductWithCompleteDigraph 2.1-4 IsDiscreteMagmaWithObjects 2.1-4 IsDomainWithObjects 2.1-2 IsDoubleGroupoid 8.1-1 IsDoubleGroupoidElement 8.1-2 IsDoubleGroupoidHomomorphism 8.5-1 IsEndomorphismWithObjects 3.3-2 IsFpGroupoid 4.1-3 IsFpWeightedDigraph 7.1-1 IsFreeGroupoid 4.1-3 IsFreeProductWithAmalgamation 7.4-1 IsFullSubgroupoid 4.3-1 IsGraphOfFpGroupoids 7.5-1 IsGraphOfFpGroups 7.2-2 IsGraphOfGroupoids 7.5-1 IsGraphOfGroupoidsWord 7.5-2 IsGraphOfGroups 7.2-1 IsGraphOfGroupsWord 7.3-1 IsGraphOfPcGroups 7.2-2 IsGraphOfPermGroupoids 7.5-1 IsGraphOfPermGroups 7.2-2 IsGroupoid 4.1-1 IsGroupoidAction 6.3-1 IsGroupoidByIsomorphisms 4.6-1 IsGroupoidElement 4.2-1 IsGroupoidHomomorphism 5.1-1 IsGroupoidWithMonoidObjects 4.7-2 IsHnnExtension 7.4-3 IsHomogeneousDomainWithObjects 4.1-5 IsHomogeneousDiscreteGroupoidRep 4.1-5 IsInjectiveOnObjects 3.3-2 IsMagmaWithObjects 2.1-2 IsMappingToGroupWithGGRWS 7.4-2 IsMappingToSinglePieceRep 3.1-1 IsMappingWithObjectsByFunction 3.4-1 IsMatrixGroupoid 4.1-3 IsMonoidWithObjects 2.3-1 IsMultiplicativeElementWithObjects 2.1-3 IsomorphismGroupoids 5.5-2 IsomorphismNewObjects, for groupoids 5.3-3 IsomorphismPcGroupoid 5.3-5 IsomorphismPermGroupoid 5.3-5 IsomorphismsOfGraphOfGroupoids 7.5-1 IsomorphismsOfGraphOfGroups 7.2-1 IsomorphismStandardGroupoid 5.3-4 IsPcGroupoid 4.1-3 IsPermGroupoid 4.1-3 IsReducedGraphOfGroupoidsWord 7.5-2 IsReducedGraphOfGroupsWord 7.3-2 IsSemigroupWithObjects 2.2-1 IsSinglePiece 2.1-4 IsSinglePieceDomain 2.1-4 IsSubgroupoid 4.3-1 IsSurjectiveOnObjects 3.3-2 IsWideSubgroupoid 4.3-1 LeftArrow 8.1-2 LeftCoset 4.4-1 LeftCosetRepresentatives 4.4-1 LeftCosetRepresentativesFromObject 4.4-1 LeftCosets 4.4-1 LeftTransversalsOfGraphOfGroupoids 7.5-1 LeftTransversalsOfGraphOfGroups 7.2-3 MagmaWithObjects 2.1-1 MagmaWithObjectsHomomorphism 3.1-1 MagmaWithSingleObject, for groups 4.1-1 MappingToSinglePieceData, for groupoids 5.2-6 MappingWithObjectsByFunction 3.4-1 MaximalDiscreteSubgroupoid 4.3-7 MonoidWithObjects 2.3-1 NiceObjectAutoGroupGroupoid 6.1-4 NormalFormGGRWS 7.4-1 ObjectCostar 4.2-4 ObjectGroup 4.1-2 ObjectGroupHomomorphism 5.2-7 ObjectList, for groupoids 4.1-2 ObjectList, for groupoids 4.1-4 ObjectList, for magmas with objects 2.1-1 ObjectStar 4.2-4 Order 4.2-3 ParentMappingGroupoids 5.3-2 PieceIsomorphisms 4.1-5 PieceOfObject 2.5-1 PiecePositions 4.3-5 Pieces, for double groupoids 8.2-1 PiecesOfMapping 3.1-1 Projection, for groupoids 4.1-6 Range 3.1-1 RayArrowsOfGroupoid 4.3-3 RaysOfGroupoid 4.3-3 ReducedGraphOfGroupoidsWord 7.5-2 ReducedGraphOfGroupsWord 7.3-2 ReducedImageElm 7.4-2 RegularActionHomomorphismGroupoid 5.3-5 ReplaceOnePieceInUnion 4.1-4 RestrictedMappingGroupoids 5.3-2 RightActionGroupoid 4.7-2 RightArrow 8.1-2 RightCoset 4.4-1 RightCosetRepresentatives 4.4-1 RightCosets 4.4-1 RightTransversalsOfGraphOfGroupoids 7.5-1 RightTransversalsOfGraphOfGroups 7.2-3 RootGroup 4.1-2 RootGroupHomomorphism 5.2-3 RootObject, for groupoids 4.1-2 SemigroupWithObjects 2.2-1 SinglePieceBasicDoubleGroupoid 8.1-1 SinglePieceGroupoid 4.1-1 SinglePieceGroupoidWithRays 4.7-1 SinglePieceMagmaWithObjects 2.1-1 SinglePieceMonoidWithObjects 2.3-1 SinglePieceSemigroupWithObjects 2.2-1 SinglePieceSubgroupoidByGenerators 4.3-8 Size 4.1-4 Source 3.1-1 SquareOfArrows 8.1-2 Subgroupoid 4.3-1 SubgroupoidByObjects 4.3-2 SubgroupoidByPieces 4.3-4 SubgroupoidBySubgroup 4.3-2 SubgroupoidsOfGraphOfGroupoids 7.5-1 SubgroupoidWithRays 4.3-3 TailOfArrow, for groupoids 4.2-1 TailOfGraphOfGroupsWord 7.3-1 TransposedSquare 8.1-4 UnderlyingFunction 3.4-1 UnionOfPieces, for double groupoids 8.2-1 UpArrow 8.1-2 VerticalIdentities 8.1-7 VerticalInverses 8.1-7 VerticalProduct 8.1-6 WordOfGraphOfGroupoidsWord 7.5-2 WordOfGraphOfGroupsWord 7.3-1
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