  
  
  [1XIndex[101X
  
  * for groupoid elements 4.2-1 
  [2X\^[102X 4.5-1 
  \^, for arrows 4.5 
      for groupoids 4.5-1 
  [2XArrow[102X 2.1-3 
  [10XArrow[110X, for groupoid elements 4.2-1 
  [10XAutomorphismGroup[110X 5.6-3 
  [2XAutomorphismGroupOfGroupoid[102X 5.6-3 
  [2XAutomorphismGroupoidOfGroupoid[102X 5.6-6 
  [2XConjugateGroupoid[102X 4.5-2 
   4.4  4.2-4 
  [2XDigraphOfGraphOfGroupoids[102X 6.5-1 
  [2XDigraphOfGraphOfGroups[102X 6.2-1 
  [2XDirectProductOp[102X 4.1-6 
  [2XDiscreteSubgroupoid[102X 4.3-6 
  [2XDiscreteTrivialSubgroupoid[102X 4.3-5 
  [2XDomainWithSingleObject[102X, for groups 4.1-1 
      for semigroups 2.2-1 
   4.4 
  [2XDoubleCoset[102X 4.4-1 
  [2XDoubleCosetRepresentatives[102X 4.4-1 
  [2XDoubleCosets[102X 4.4-1 
  [2XElementOfArrow[102X, for groupoids 4.2-1 
      for magmas with objects 2.1-3 
  [2XEmbedding[102X 4.1-6  6.4-2 
  [2XFpWeightedDigraph[102X 6.1-1 
  [2XFreeProductWithAmalgamation[102X 6.4-1 
  [2XFreeProductWithAmalgamationInfo[102X 6.4-1 
  [2XFullTrivialSubgroupoid[102X 4.3-5 
  [2XGeneratorsOfMagmaWithObjects[102X 2.4-1 
  [2XGeneratorsOfMonoidWithObjects[102X 2.4-1 
  [2XGeneratorsOfSemigroupWithObjects[102X 2.4-1 
  [2XGraphOfGroupoids[102X 6.5-1 
  [2XGraphOfGroupoidsOfWord[102X 6.5-2 
  [2XGraphOfGroupoidsWord[102X 6.5-2 
  [2XGraphOfGroups[102X 6.2-1 
  [2XGraphOfGroupsOfWord[102X 6.3-1 
  [2XGraphOfGroupsRewritingSystem[102X 6.4-1 
  [2XGraphOfGroupsWord[102X 6.3-1 
  [2XGroupoid[102X 4.1-1 
  [2XGroupoidAutomorphismByGroupAuto[102X 5.6-1 
  [2XGroupoidAutomorphismByGroupAutos[102X 5.6-5 
  [2XGroupoidAutomorphismByObjectPerm[102X 5.6-1 
  [2XGroupoidAutomorphismByRayShifts[102X 5.6-1 
  [2XGroupoidByIsomorphisms[102X 4.6-1 
  [2XGroupoidElement[102X 4.2-1 
  [2XGroupoidHomomorphism[102X 5.1-1 
  [2XGroupoidHomomorphismFromHomogeneousDiscrete[102X 5.4-2 
  [2XGroupoidHomomorphismFromSinglePiece[102X 5.1-1 
  [2XGroupoidInnerAutomorphism[102X 5.6-1 
  [2XGroupoidsOfGraphOfGroupoids[102X 6.5-1 
  [2XGroupsOfGraphOfGroups[102X 6.2-1 
  [2XHeadOfArrow[102X, for groupoids 4.2-1 
      for magmas with objects 2.1-3 
  [2XHeadOfGraphOfGroupsWord[102X 6.3-1 
  [2XHnnExtension[102X 6.4-3 
  [2XHnnExtensionInfo[102X 6.4-3 
  [2XHomogeneousDiscreteGroupoid[102X 4.1-5 
  [2XHomogeneousGroupoid[102X 4.1-5 
  [2XHomomorphismByUnion[102X, for groupoids 5.5-1 
      for magmas with objects 3.3-1 
  [2XHomomorphismFromSinglePiece[102X 3.1-1 
  [2XHomomorphismToSinglePiece[102X, for groupoids 5.4-1 
      for magmas with objects 3.1-1 
  [2XHomset[102X 4.2-4 
  identity subgroupoid 4.3-5 
  [2XIdentityArrow[102X 4.2-2 
  [10XIdentityMapping[110X 5.4-1 
  [2XImageElementsOfRays[102X 5.2-5 
  [2XImagesOfObjects[102X 5.2-4 
  [2XInclusionMappingGroupoids[102X 5.3-1 
  inner automorphism 5.6-1 
  inner automorphism group 5.6-4 
  inverse arrow 4.2-2 
  [2XInvolutoryArcs[102X 6.1-1 
  [2XIsAutomorphismWithObjects[102X 3.3-2 
  , for groupoid homomorphisms 5.2-1 
  [2XIsBijectiveOnObjects[102X 3.3-2 
  , for groupoid homomorphisms 5.2-1 
  [2XIsDirectProductWithCompleteDigraph[102X 2.1-4 
  [2XIsDiscreteMagmaWithObjects[102X 2.1-4 
  [2XIsDomainWithObjects[102X 2.1-2 
  [2XIsEndomorphismWithObjects[102X 3.3-2 
  , for groupoid homomorphisms 5.2-1 
  [2XIsFpGroupoid[102X 4.1-3 
  [2XIsFpWeightedDigraph[102X 6.1-1 
  [2XIsFreeGroupoid[102X 4.1-3 
  [2XIsFreeProductWithAmalgamation[102X 6.4-1 
  [2XIsGraphOfFpGroupoids[102X 6.5-1 
  [2XIsGraphOfFpGroups[102X 6.2-2 
  [2XIsGraphOfGroupoidsWord[102X 6.5-2 
  [2XIsGraphOfGroupsWord[102X 6.3-1 
  [2XIsGraphOfPcGroups[102X 6.2-2 
  [2XIsGraphOfPermGroupoids[102X 6.5-1 
  [2XIsGraphOfPermGroups[102X 6.2-2 
  [2XIsGroupoidByIsomorphisms[102X 4.6-1 
  [2XIsGroupoidWithMonoidObjects[102X 4.7-2 
  [2XIsHnnExtension[102X 6.4-3 
  [10XIsHomogeneousDomainWithObjects[110X 4.1-5 
  [10XIsHomogeneousDiscreteGroupoidRep[110X 4.1-5 
  , for groupoid homomorphisms 5.2-1 
  [2XIsInjectiveOnObjects[102X 3.3-2 
  , for groupoid homomorphisms 5.2-1 
  [2XIsMagmaWithObjects[102X 2.1-2 
  [2XIsMappingToGroupWithGGRWS[102X 6.4-2 
  [10XIsMappingToSinglePieceRep[110X 3.1-1 
  [2XIsMappingWithObjectsByFunction[102X 3.4-1 
  [2XIsMatrixGroupoid[102X 4.1-3 
  [10XIsMultiplicativeElementWithObjects[110X 2.1-3 
  [2XIsomorphismGroupoids[102X 5.5-2 
  [2XIsomorphismNewObjects[102X, for groupoids 5.3-3 
      for magmas with objects 3.1-1 
  [2XIsomorphismPcGroupoid[102X 5.3-5 
  [2XIsomorphismPermGroupoid[102X 5.3-5 
  [2XIsomorphismsOfGraphOfGroupoids[102X 6.5-1 
  [2XIsomorphismsOfGraphOfGroups[102X 6.2-1 
  [2XIsomorphismStandardGroupoid[102X 5.3-4 
  [2XIsPcGroupoid[102X 4.1-3 
  [2XIsPermGroupoid[102X 4.1-3 
  [2XIsReducedGraphOfGroupoidsWord[102X 6.5-2 
  [2XIsReducedGraphOfGroupsWord[102X 6.3-2 
  [2XIsSinglePiece[102X 2.1-4 
  [2XIsSinglePieceDomain[102X 2.1-4 
  [2XIsSubgroupoid[102X 4.3-1 
  , for groupoid homomorphisms 5.2-1 
  [2XIsSurjectiveOnObjects[102X 3.3-2 
  , for groupoid homomorphisms 5.2-1 
  [2XIsWideSubgroupoid[102X 4.3-1 
  [2XLeftCoset[102X 4.4-1 
  [2XLeftCosetRepresentatives[102X 4.4-1 
  [2XLeftCosetRepresentativesFromObject[102X 4.4-1 
  [2XLeftCosets[102X 4.4-1 
  [2XLeftTransversalsOfGraphOfGroupoids[102X 6.5-1 
  [2XLeftTransversalsOfGraphOfGroups[102X 6.2-3 
  loop 4.2-3 
  [2XMagmaWithObjects[102X 2.1-1 
  [2XMagmaWithObjectsHomomorphism[102X 3.1-1 
  [2XMappingToSinglePieceData[102X, for groupoids 5.1-1 
      for magmas with objects 3.1-1 
  [2XMappingWithObjectsByFunction[102X 3.4-1 
  matrix representation 5.7 
  [2XMaximalDiscreteSubgroupoid[102X 4.3-6 
  [2XMonoidWithObjects[102X 2.3-1 
  [2XNiceObjectAutoGroupGroupoid[102X 5.6-3 
  [2XNormalFormGGRWS[102X 6.4-1 
  [2XObjectCostar[102X 4.2-4 
  [2XObjectGroup[102X 4.1-2 
  [2XObjectGroupHomomorphism[102X 5.2-6 
  [2XObjectList[102X, for groupoids 4.1-2 
  [10XObjectList[110X, for groupoids 4.1-4 
  [2XObjectList[102X, for magmas with objects 2.1-1 
  [2XObjectStar[102X 4.2-4 
  [2XOrder[102X 4.2-3 
  [2XParentMappingGroupoids[102X 5.3-2 
  [2XPieceIsomorphisms[102X 4.1-5 
  [2XPieceOfObject[102X 2.5-1 
  [2XPieces[102X, for groupoids 4.1-4 
      for magmas with objects 2.5-1 
  [2XPiecesOfMapping[102X 3.1-1 
  [2XProjection[102X 4.1-6 
  [10XRange[110X 3.1-1 
  [2XRayArrowsOfGroupoid[102X 4.3-2 
   4. 
  [2XRaysOfGroupoid[102X 4.3-2 
  [2XReducedGraphOfGroupoidsWord[102X 6.5-2 
  [2XReducedGraphOfGroupsWord[102X 6.3-2 
  [2XReducedImageElm[102X 6.4-2 
  [2XReplaceOnePieceInUnion[102X 4.1-4 
  representation by matrices 5.7 
  [2XRestrictedMappingGroupoids[102X 5.3-2 
  [2XRightActionGroupoid[102X 4.7-2 
  [2XRightCoset[102X 4.4-1 
  [2XRightCosetRepresentatives[102X 4.4-1 
  [2XRightCosets[102X 4.4-1 
  [2XRightTransversalsOfGraphOfGroupoids[102X 6.5-1 
  [2XRightTransversalsOfGraphOfGroups[102X 6.2-3 
  [2XRootGroup[102X 4.1-2 
  [2XRootGroupHomomorphism[102X 5.2-3 
  [2XRootObject[102X, for groupoids 4.1-2 
      for magmas with objects 2.1-1 
  [2XSemigroupWithObjects[102X 2.2-1 
  [2XSinglePieceGroupoid[102X 4.1-1 
  [2XSinglePieceGroupoidWithRays[102X 4.7-1 
  [2XSinglePieceMagmaWithObjects[102X 2.1-1 
  [2XSinglePieceMonoidWithObjects[102X 2.3-1 
  [2XSinglePieceSemigroupWithObjects[102X 2.2-1 
  [2XSinglePieceSubgroupoidByGenerators[102X 4.3-7 
  [2XSize[102X 4.1-4 
  [10XSource[110X 3.1-1 
  standard groupoid 4.1-1 
   4.2-4 
  [2XSubgroupoid[102X 4.3-1 
  [2XSubgroupoidByObjects[102X 4.3-3 
  [2XSubgroupoidByPieces[102X 4.3-4 
  [2XSubgroupoidBySubgroup[102X 4.3-3 
  [2XSubgroupoidsOfGraphOfGroupoids[102X 6.5-1 
  [2XSubgroupoidWithRays[102X 4.3-2 
  [2XTailOfArrow[102X, for groupoids 4.2-1 
      for magmas with objects 2.1-3 
  [2XTailOfGraphOfGroupsWord[102X 6.3-1 
  tree groupoid 4.3-5 
  trivial subgroupoid 4.3-5 
  [2XUnderlyingFunction[102X 3.4-1 
  [2XUnionOfPieces[102X, for groupoids 4.1-4 
      for magmas with objects 2.5-1 
  [2XWordOfGraphOfGroupoidsWord[102X 6.5-2 
  [2XWordOfGraphOfGroupsWord[102X 6.3-1 
  
  
  -------------------------------------------------------
