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### Index

`\*` 3.5-3
`\*`, PROD 4.2-14
`\+` 3.5-2
`\[\]`, ELMLIST 4.2-15
`\^`, POW 4.2-13
`\{\}`, ELMSLIST 4.2-15
`Activities` 6.1-7
`Activity` 4.2-2
`ActivityInt` 4.2-2
`ActivityPerm` 4.2-2
`ActivitySparse` 6.1-6
`ActivityTransformation` 4.2-2
`Add`, FIFO 12.1-22
`AddingElement` 10.1-4
`AddingGroup` 10.1-4
`AddingMachine` 10.1-4
`AleshinGroup` 10.1-14
`AleshinGroups` 10.1-13
`AleshinMachine` 10.1-14
`AleshinMachines` 10.1-13
`AlgebraElement` 6.1-2
`AlgebraElementNC` 6.1-2
`AlgebraMachine` 6.1-2
`AlgebraMachineNC` 6.1-2
`AllMealyMachines` 5.1-4
`AlphabetInvolution` 5.2-6
`AlphabetOfFRObject` 11.1-3
`Append`, FIFO 12.1-22
`ArtinRepresentation` 12.1-16
`AsAlgebraElement` 6.1-14
`AsAlgebraElement`, Linear machine 6.1-16
`AsAlgebraMachine` 6.1-14
`AsAlgebraMachine`, Linear machine 6.1-16
`AsGroupFRElement` 4.1-7
`AsGroupFRMachine` 3.3-4
`AsIntMealyElement` 5.2-21
`AsIntMealyMachine` 5.2-21
`AsLinearElement` 6.1-12
`AsLinearMachine` 6.1-12
`AsLpGroup` 7.2-27
`AsMealyElement` 5.2-20
`AsMealyMachine`, FR machine 5.2-18
`AsMealyMachine`, List 5.2-19
`AsMonoidFRElement` 4.1-7
`AsMonoidFRMachine` 3.3-4
`AsPermutation`, FR object 11.1-4
`AsSemigroupFRElement` 4.1-7
`AsSemigroupFRMachine` 3.3-4
`AsSubgroupFpGroup` 7.2-27
`AsTransformation`, FR object 11.1-5
`AsVectorElement` 6.1-13
`AsVectorElement`, Linear machine 6.1-15
`AsVectorMachine` 6.1-13
`AsVectorMachine`, Linear machine 6.1-15
`BabyAleshinGroup` 10.1-15
`BabyAleshinMachine` 10.1-15
`Ball` 12.1-11
`BasilicaGroup` 10.1-3
`BinaryAddingElement` 10.1-5
`BinaryAddingGroup` 10.1-5
`BinaryAddingMachine` 10.1-5
`BinaryKneadingGroup` 10.1-2
`BinaryKneadingMachine` 10.1-2
`BoundedBinaryGroup` 10.1-1
`BranchingSubgroup` 7.2-19
`BrunnerSidkiVieiraGroup` 10.1-12
`BrunnerSidkiVieiraMachine` 10.1-12
`CanonicalQuadraticRational` 9.1-8
`CayleyGroup` 10.1-28
`CayleyMachine` 10.1-28
`ChangeFRMachineBasis` 3.3-5
`CharneyBraidFpGroup` 12.1-15
`CoefficientsInAbelianExtension` 12.1-19
`ComposeElement`, elementcoll,perm 4.1-4
`CompressedPeriodicList` 12.1-6
`CompressedPeriodicList`, period, looping point 12.1-6
`CompressPeriodicList` 12.1-7
`ConfinalityClass` 12.1-9
`ConfinalityClasses` 5.2-23
`Correspondence`, FR machine 3.5-11
`Correspondence`, FR semigroup 7.1-3
`CriticalValuesQuadraticRational` 9.1-7
`DahmaniGroup` 10.1-24
`DBRationalIMGGroup` 9.1-5
`DecompositionOfFRElement` 4.2-5
`Degree`, FR element 5.2-9
`Degree`, FR semigroup 7.2-14
`DegreeOfFRElement` 5.2-9
`DegreeOfFRMachine` 5.2-9
`DegreeOfFRSemigroup` 7.2-14
`Depth`, FR element 5.2-11
`Depth`, FR semigroup 7.2-14
`DepthOfFRElement` 5.2-11
`DepthOfFRMachine` 5.2-11
`DepthOfFRSemigroup` 7.2-14
`DiagonalElement` 4.1-6
`DimensionSeries` 12.1-24
`DirectProductOp`, FR Machines 3.5-7
`DirectSum` 12.1-5
`DirectSumOp`, FR Machines 3.5-6
`Draw` 5.2-1
`DualMachine` 5.2-3
`EpimorphismFromFpGroup` 7.2-26
`EpimorphismGermGroup` 7.2-5
`EpimorphismGermGroup`, EGG0 7.2-5
`EpimorphismMatrixQuotient` 8.2-1
`EpimorphismPcGroup` 7.2-2
`EpimorphismPermGroup` 7.2-1
`EpimorphismTransnMonoid` 7.2-3
`EpimorphismTransSemigroup` 7.2-4
`FabrykowskiGuptaGroup` 10.1-20
`FabrykowskiGuptaGroups` 10.1-20
`FindBranchingSubgroup` 7.2-20
`FinitaryBinaryGroup` 10.1-1
`FiniteDepthBinaryGroup` 10.1-1
`FiniteStateBinaryGroup` 10.1-1
`FixedRay`, FR element 5.2-16
`FixedStates` 4.2-9
`FR_SEARCH` 12.2-2
`FRAffineGroup` 10.1-27
`FRAlgebra` 8.1-1
`FRAlgebraWithOne` 8.1-1
`FREFamily` 11.1-2
`FRElement`, [list,]list,list,list 4.1-2
`FRElement`, machine/element,list 4.1-3
`FRElement`, semigroup,list,list,list 4.1-2
`FRElementNC`, family,free,listlist,list,assocword 4.1-1
`FRGroup` 7.1-1
`FRGroupByVirtualEndomorphism` 7.1-8
`FRMachine`, [list,]list,list 3.3-2
`FRMachine`, semigroup,list,list 3.3-2
`FRMachineFRGroup` 7.1-5
`FRMachineFRMonoid` 7.1-5
`FRMachineFRSemigroup` 7.1-5
`FRMachineNC`, family,free,listlist,list 3.3-1
`FRMachineRWS` 11.3-1
`FRMFamily` 11.1-1
`FRMonoid` 7.1-1
`FRSemigroup` 7.1-1
`FullBinaryGroup` 10.1-1
`FullSCGroup` 7.1-4
`FullSCMonoid` 7.1-4
`FullSCSemigroup` 7.1-4
`GammaPQGroup` 10.1-22
`GammaPQMachine` 10.1-22
`GeneralizedGuptaSidkiGroups` 10.1-17
`GeneratorsOfFRMachine` 3.4-2
`Germs` 5.2-24
`GrigorchukEvilTwin` 10.1-11
`GrigorchukGroup` 10.1-9
`GrigorchukGroups` 10.1-8
`GrigorchukMachine` 10.1-9
`GrigorchukMachines` 10.1-8
`GrigorchukOverGroup` 10.1-10
`GuessMealyElement` 5.2-28
`GuessVectorElement` 6.1-11
`GuptaSidkiGroup` 10.1-18
`GuptaSidkiGroups` 10.1-17
`GuptaSidkiMachine` 10.1-18
`GuptaSidkiMachines` 10.1-17
`HanoiGroup` 10.1-23
`HasOpenSetConditionFRElement` 5.2-25
`HasOpenSetConditionFRSemigroup` 7.2-15
`HorizontalAction` 10.4-2
`I2Machine` 10.2-1
`I2Monoid` 10.2-1
`I4Machine` 10.2-2
`I4Monoid` 10.2-2
`IMGFRMachine`, FR machine 9.1-1
`IMGFRMachine`, rational function 9.2-2
`IMGRelator` 9.1-2
`InfoFR` 12.2-1
`InitialState` 4.2-12
`IsAlgebraFRMachineRep` 11.2-8
`IsAmenableGroup` 7.3-3
`IsAntisymmetricFRElement` 6.1-9
`IsBireversible` 5.2-7
`IsBoundedFRElement` 5.2-12
`IsBoundedFRMachine` 5.2-12
`IsBoundedFRSemigroup` 7.2-13
`IsBranched`, FR group 7.2-21
`IsBranchingSubgroup`, FR semigroup 7.2-22
`IsConfinal` 12.1-8
`IsContracting` 7.2-16
`IsConvergent` 6.1-8
`IsDiagonalFRElement` 6.1-9
`IsFinitaryFRElement` 5.2-10
`IsFinitaryFRMachine` 5.2-10
`IsFinitaryFRSemigroup` 7.2-13
`IsFiniteStateFRElement` 4.2-11
`IsFiniteStateFRMachine` 4.2-11
`IsFiniteStateFRSemigroup` 7.2-13
`IsFRAlgebra` 11.2-16
`IsFRAlgebraWithOne` 11.2-16
`IsFRElement` 11.2-11
`IsFRGroup` 11.2-15
`IsFRMachine` 11.2-13
`IsFRMachineStrRep` 11.2-2
`IsFRMonoid` 11.2-15
`IsFRObject` 11.2-12
`IsFRSemigroup` 11.2-15
`IsGroupFRMachine` 11.2-1
`IsInfinitelyTransitive` 7.2-12
`IsInvertible` 11.2-14
`IsIrreducibleVHGroup` 10.4-4
`IsJustInfinite` 7.3-7
`IsLevelTransitive`, FR element 5.2-17
`IsLevelTransitive`, FR group 7.2-11
`IsLinearFRElement` 11.2-10
`IsLinearFRMachine` 11.2-9
`IsLowerTriangularFRElement` 6.1-9
`IsMealyElement` 11.2-4
`IsMealyMachine` 11.2-3
`IsMealyMachineDomainRep` 11.2-6
`IsMealyMachineIntRep` 11.2-5
`IsMinimized` 5.2-5
`IsMonoidFRMachine` 11.2-1
`IsomorphismFRGroup` 7.1-6
`IsomorphismFRMonoid` 7.1-6
`IsomorphismFRSemigroup` 7.1-6
`IsomorphismLpGroup` 7.2-27
`IsomorphismMealyGroup` 7.1-7
`IsomorphismMealyMonoid` 7.1-7
`IsomorphismMealySemigroup` 7.1-7
`IsomorphismSubgroupFpGroup` 7.2-27
`IsPolynomialGrowthFRElement` 5.2-13
`IsPolynomialGrowthFRMachine` 5.2-13
`IsPolynomialGrowthFRSemigroup` 7.2-13
`IsRecurrentFRSemigroup` 7.2-10
`IsResiduallyFinite` 7.3-5
`IsReversible` 5.2-4
`IsSemigroupFRMachine` 11.2-1
`IsSQUniversal` 7.3-6
`IsStateClosedFRSemigroup` 7.2-8
`IsSymmetricFRElement` 6.1-9
`IsTorsionFreeGroup` 7.3-2
`IsTorsionGroup` 7.3-1
`IsUpperTriangularFRElement` 6.1-9
`IsVectorFRMachineRep` 11.2-7
`IsVHGroup` 10.4-1
`IsVirtuallySimpleGroup` 7.3-4
`IsWeaklyFinitaryFRElement` 5.2-23
`IsWeaklyFinitaryFRSemigroup` 7.2-13
`LamplighterGroup` 10.1-28
`LargestCommonPrefix` 12.1-10
`LDUDecompositionFRElement` 6.1-10
`LevelStabilizer` 7.2-7
`LimitMachine` 5.2-26
`LimitStates` 4.2-10
`MagmaEndomorphismByImagesNC` 12.1-20
`MagmaHomomorphismByImagesNC` 12.1-21
`MamaghaniGroup` 10.1-25
`Mating` 9.1-3
`MatrixQuotient` 8.2-1
`MaximalSimpleSubgroup` 10.4-5
`maybe` 12.1-1
`MealyElement`, [list,]listlist,list,int 5.1-1
`MealyElement`, domain,domain,function,function,obj 5.1-2
`MealyElementNC`, family,listlist,list,int 5.1-3
`MealyMachine`, [list,]listlist,list 5.1-1
`MealyMachine`, domain,domain,function,function 5.1-2
`MealyMachineFRGroup` 7.1-5
`MealyMachineFRMonoid` 7.1-5
`MealyMachineFRSemigroup` 7.1-5
`MealyMachineNC`, family,listlist,list 5.1-3
`Minimized`, FR machine 3.5-10
`Minimized`, Mealy machine 5.2-2
`MixerGroup` 10.1-6
`MixerMachine` 10.1-6
`NestedMatrixCoefficient` 6.1-5
`NestedMatrixState` 6.1-5
`NeumannGroup` 10.1-19
`NeumannMachine` 10.1-19
`NewFIFO` 12.1-22
`NormOfBoundedFRElement` 5.2-24
`NucleusMachine`, FR machine 5.2-27
`NucleusMachine`, FR semigroup 7.2-18
`NucleusOfFRSemigroup` 7.2-17
`OrbitGrowth` 12.1-11
`OtherSpinalGroup` 10.1-21
`Output`, FR element 4.2-1
`Output`, FR machine,state 3.4-3
`Output`, FR machine,state,letter 3.4-3
`PcGroup` 7.2-2
`Period` 12.1-6
`PeriodicList` 12.1-6
`PeriodicList`, list, function 12.1-6
`PeriodicList`, period, looping point 12.1-6
`PermGroup` 7.2-1
`PolynomialFRMachine` 9.1-4
`PolynomialGrowthBinaryGroup` 10.1-1
`PolynomialIMGMachine` 9.1-4
`PolynomialMealyMachine` 9.1-4
`Portrait` 4.2-4
`PortraitInt` 4.2-4
`PositionTower` 12.1-18
`PostCriticalMachine` 9.1-9
`PrePeriod` 12.1-6
`ProductBOIIdeal` 12.1-23
`ProductIdeal` 12.1-23
`PureSurfaceBraidFpGroup` 12.1-14
`RationalFunction` 9.2-1
`ReturnMaybe` 12.1-2
`SCAlgebra` 8.1-2
`SCAlgebraNC` 8.1-2
`SCAlgebraWithOne` 8.1-2
`SCAlgebraWithOneNC` 8.1-2
`SCGroup` 7.1-2
`SCGroupNC` 7.1-2
`SCMonoid` 7.1-2
`SCMonoidNC` 7.1-2
`SCSemigroup` 7.1-2
`SCSemigroupNC` 7.1-2
`ShortGroupRelations` 12.1-12
`ShortGroupWordInSet` 12.1-13
`ShortMonoidRelations` 12.1-12
`ShortMonoidWordInSet` 12.1-13
`ShortSemigroupWordInSet` 12.1-13
`SidkiFreeGroup` 10.1-16
`Signatures` 5.2-14
`Sphere` 12.1-11
`StabilizerImage` 7.2-6
`State` 4.2-7
`StateClosure` 7.2-9
`StateGrowth` 5.2-8
`States` 4.2-8
`StateSet`, FR element 4.2-6
`StateSet`, FR machine 3.4-1
`StringByInt` 12.1-17
`StructuralGroup` 3.5-1
`StructuralMonoid` 3.5-1
`StructuralSemigroup` 3.5-1
`SubFRMachine` 3.5-9
`SunicGroup` 10.1-7
`Sunicmachine` 10.1-7
`SurfaceBraidFpGroup` 12.1-14
`TensorProductOp`, FR Machines 3.5-5
`TensorProductX` 12.1-4
`TensorSum` 12.1-3
`TensorSumOp`, FR Machines 3.5-4
`ThinnedAlgebra` 8.2-2
`ThinnedAlgebraWithOne` 8.2-2
`TopElement` 5.2-22
`TopVertexTransformations` 7.2-23
`Trans` 12.1-25
`Transition`, FR element,input 4.2-3
`Transition`, FR machine,state,input 3.4-4
`Transition`, Linear machine 6.1-3
`Transitions` 6.1-4
`TransMonoid` 7.2-3
`TransposedFRElement` 6.1-9
`TransSemigroup` 7.2-4
`TreeWreathProduct`, FR group 7.1-9
`TreeWreathProduct`, FR machine 3.5-8
`UnderlyingFRMachine` 3.3-3
`ValueRational` 9.1-6
`VectorElement` 6.1-1
`VectorElementNC` 6.1-1
`VectorMachine` 6.1-1
`VectorMachineNC` 6.1-1
`VertexElement` 4.1-5
`VertexTransformations`, FR semigroup 7.2-24
`VertexTransformationsFRElement` 5.2-15
`VertexTransformationsFRMachine` 5.2-15
`VerticalAction` 10.4-2
`VHGroup` 10.4-3
`VHStructure` 10.4-1
`VirtualEndomorphism` 7.2-25
`WeaklyBranchedEmbedding` 7.1-10
`WeierstrassGroup` 10.1-26
`WordGrowth` 12.1-11
`WreathRecursion` 3.4-5

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