Index

\* 3.5-3
\*, PROD 4.2-16
\+ 3.5-2
\[\], ELMLIST 4.2-17
\^, POW 4.2-15
\{\}, ELMSLIST 4.2-17
Activities 6.1-8
Activity 4.2-2
ActivityInt 4.2-2
ActivityPerm 4.2-2
ActivitySparse 6.1-7
ActivityTransformation 4.2-2
Add, FIFO 12.11-8
AddingElement 10.1-6
AddingElement, FR machine 9.1-10
AddingGroup 10.1-6
AddingMachine 10.1-6
AdjacencyBasesWithOne 7.2-21
AdjacencyPoset 7.2-21
AleshinGroup 10.1-16
AleshinGroups 10.1-15
AleshinMachine 10.1-16
AleshinMachines 10.1-15
AlgebraElement 6.1-3
AlgebraElementNC 6.1-3
AlgebraHomomorphismByFunction 12.11-11
AlgebraMachine 6.1-3
AlgebraMachineNC 6.1-3
AlgebraWithOneHomomorphismByFunction 12.11-11
AllInternalAddresses 9.2-9
AllMealyMachines 5.1-4
Alphabet 11.1-3
AlphabetInvolution 5.2-6
AlphabetOfFRAlgebra 11.1-3
AlphabetOfFRObject 11.1-3
AlphabetOfFRSemigroup 11.1-3
Append, FIFO 12.11-8
ArgumentOfCyclotomic 12.11-17
ArtinRepresentation 12.5-3
AsAlgebraElement 6.1-15
AsAlgebraElement, Linear machine 6.1-17
AsAlgebraMachine 6.1-15
AsAlgebraMachine, Linear machine 6.1-17
AsGroupFRElement 4.1-7
AsGroupFRMachine 3.3-4
AsGroupFRMachine, endomorphism 9.1-13
AsIMGElement 9.1-7
AsIMGMachine 9.1-3
AsIntMealyElement 5.2-21
AsIntMealyMachine 5.2-21
AsLinearElement 6.1-13
AsLinearMachine 6.1-13
AsLpGroup 7.2-31
AsMealyElement 5.2-20
AsMealyMachine, FR machine 5.2-18
AsMealyMachine, List 5.2-19
AsMonoidFRElement 4.1-7
AsMonoidFRMachine 3.3-4
AsMonoidFRMachine, endomorphism 9.1-13
AsPermutation, FR object 11.1-4
AsPolynomialFRMachine 9.1-9
AsPolynomialIMGMachine 9.1-9
AsSemigroupFRElement 4.1-7
AsSemigroupFRMachine 3.3-4
AsSemigroupFRMachine, endomorphism 9.1-13
AssociativeObject 6.1-2
AsSubgroupFpGroup 7.2-31
AsTrans 12.6-3
AsTransformation, FR object 11.1-5
AsVectorElement 6.1-14
AsVectorElement, Linear machine 6.1-16
AsVectorMachine 6.1-14
AsVectorMachine, Linear machine 6.1-16
AutomorphismIMGMachine 9.1-17
AutomorphismVirtualEndomorphism 9.1-17
BabyAleshinGroup 10.1-17
BabyAleshinMachine 10.1-17
Ball 12.3-1
BasilicaGroup 10.1-3
BinaryAddingElement 10.1-7
BinaryAddingGroup 10.1-7
BinaryAddingMachine 10.1-7
BinaryKneadingGroup 10.1-2
BinaryKneadingMachine 10.1-2
BoundedBinaryGroup 10.1-1
BraidTwists 3.3-7
BranchingIdeal 8.1-4
BranchingSubgroup 7.2-22
BranchStructure 7.2-26
BrunnerSidkiVieiraGroup 10.1-14
BrunnerSidkiVieiraMachine 10.1-14
CayleyGroup 10.1-31
CayleyMachine 10.1-31
ChangeFRMachineBasis 3.3-5
CharneyBraidFpGroup 12.5-2
CleanedIMGMachine 9.1-5
CleanedP1Map 12.8-16
CleanedP1Point 12.8-2
CoefficientsInAbelianExtension 12.11-4
CoefficientsOfP1Map 12.8-17
ComplexConjugate 3.3-6
ComposeElement, elementcoll,perm 4.1-4
CompressedPeriodicList 12.2-2
CompressedPeriodicList, period, looping point 12.2-2
CompressPeriodicList 12.2-3
ConfinalityClass 12.2-5
ConfinalityClasses 5.2-23
Correspondence, FR machine 3.5-11
Correspondence, FR semigroup 7.1-3
Cycle 12.6-4
Cycles 12.6-5
CyclotomicByArgument 12.11-16
DahmaniGroup 10.1-27
DBRationalIMGGroup 9.1-18
DecompositionOfFRElement 4.2-6
Degree, FR element 5.2-9
Degree, FR semigroup 7.2-15
DegreeDirichletSeries 12.9-2
DegreeOfFRElement 5.2-9
DegreeOfFRMachine 5.2-9
DegreeOfFRSemigroup 7.2-15
DegreeOfHomogeneousElement 8.2-4
DegreeOfP1Map 12.8-20
DegreeOfProjectiveRepresentation 12.10-4
DelaunayTriangulation 9.2-1
Depth, FR element 5.2-11
Depth, FR semigroup 7.2-15
DepthOfFRElement 5.2-11
DepthOfFRMachine 5.2-11
DepthOfFRSemigroup 7.2-15
DiagonalElement 4.1-6
DimensionSeries 12.11-10
DirectProductOp, FR Machines 3.5-7
DirectSum 12.1-3
DirectSumOp, FR Machines 3.5-6
DirichletSeries, 0 12.9-1
DirichletSeries, ic 12.9-1
DirichletSeries, md 12.9-1
DirichletSeries, sm 12.9-1
Draw 5.2-1
Draw, poset 12.11-7
Draw, spider 9.2-5
DualMachine 5.2-3
EpimorphismFromFpGroup 7.2-30
EpimorphismGermGroup 7.2-5
EpimorphismGermGroup, EGG0 7.2-5
EpimorphismMatrixQuotient 8.2-1
EpimorphismPcGroup 7.2-2
EpimorphismPermGroup 7.2-1
EpimorphismTransformationMonoid 7.2-3
EpimorphismTransformationSemigroup 7.2-4
EpimorphismTransMonoid 7.2-3
EpimorphismTransSemigroup 7.2-4
ExternalAngle 9.2-11
ExternalAnglesRelation 9.2-10
FabrykowskiGuptaGroup 10.1-22
FabrykowskiGuptaGroups 10.1-22
FindBranchingSubgroup 7.2-23
FindThurstonObstruction 9.2-7
FinitaryBinaryGroup 10.1-1
FiniteDepthBinaryGroup 10.1-1
FiniteStateBinaryGroup 10.1-1
FixedRay, FR element 5.2-16
FixedStates 4.2-10
FornaessSibonyGroup 10.1-4
FRAffineGroup 10.1-30
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, rational function 9.2-6
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
FullTransMonoid 12.6-6
GammaPQGroup 10.1-24
GammaPQMachine 10.1-24
GeneralizedGuptaSidkiGroups 10.1-19
GeneratorsOfFRMachine 3.4-2
GermData 7.2-6
Germs 5.2-24
GermValue 7.2-6
GrigorchukGroup 10.1-11
GrigorchukGroups 10.1-10
GrigorchukLieAlgebra 10.3-4
GrigorchukMachine 10.1-11
GrigorchukMachines 10.1-10
GrigorchukOverGroup 10.1-12
GrigorchukThinnedAlgebra 10.3-2
GrigorchukTwistedTwin 10.1-13
GuessMealyElement 5.2-28
GuessVectorElement 6.1-12
GuptaSidkiGroup 10.1-20
GuptaSidkiGroups 10.1-19
GuptaSidkiLieAlgebra 10.3-4
GuptaSidkiMachine 10.1-20
GuptaSidkiMachines 10.1-19
GuptaSidkiThinnedAlgebra 10.3-3
HanoiGroup 10.1-26
HasCongruenceProperty 7.2-17
HasOpenSetConditionFRElement 5.2-25
HasOpenSetConditionFRSemigroup 7.2-16
HeightOfPoset 12.11-7
HorizontalAction 10.5-2
I2Machine 10.2-1
I2Monoid 10.2-1
I4Machine 10.2-2
I4Monoid 10.2-2
ImageSetOfTrans 12.6-7
IMGMachine, rational function 9.2-6
IMGMachineNC 9.1-2
IMGRelator 9.1-4
InfoFR 12.12-1
InitialState 4.2-14
IsAlgebraFRMachineRep 11.2-8
IsAmenableGroup 7.3-3
IsAntisymmetricFRElement 6.1-10
IsBireversible 5.2-7
IsBoundedFRElement 5.2-12
IsBoundedFRMachine 5.2-12
IsBoundedFRSemigroup 7.2-14
IsBranched, FR group 7.2-24
IsBranchingSubgroup, FR semigroup 7.2-25
IsConfinal 12.2-4
IsContracting 7.2-18
IsConvergent 6.1-9
IsDiagonalFRElement 6.1-10
IsFIFO 12.11-8
IsFinitaryFRElement 5.2-10
IsFinitaryFRMachine 5.2-10
IsFinitaryFRSemigroup 7.2-14
IsFiniteStateFRElement 4.2-12
IsFiniteStateFRMachine 4.2-12
IsFiniteStateFRSemigroup 7.2-14
IsFpLieAlgebra 12.11-12
IsFRAlgebra 11.2-17
IsFRAlgebraWithOne 11.2-17
IsFRElement 11.2-11
IsFRGroup 11.2-16
IsFRMachine 11.2-14
IsFRMachineStrRep 11.2-2
IsFRMealyElement 11.2-12
IsFRMonoid 11.2-16
IsFRObject 11.2-13
IsFRSemigroup 11.2-16
IsGroupFRElement 11.2-11
IsGroupFRMachine 11.2-1
IsGroupFRMealyElement 11.2-12
IsHomogeneousElement 8.2-4
IsIMGElement 9.1-7
IsIMGMachine 9.1-1
IsInfinitelyTransitive 7.2-13
IsInvertible 11.2-15
IsIrreducibleVHGroup 10.5-4
IsJustInfinite 7.3-7
IsKneadingMachine 9.1-8
IsLevelTransitive, FR element 5.2-17
IsLevelTransitive, FR group 7.2-12
IsLevelTransitiveOnPatterns 7.2-13
IsLinearFRElement 11.2-10
IsLinearFRMachine 11.2-9
IsLinearRepresentation 12.10-1
IsLowerTriangularFRElement 6.1-10
IsMarkedSphere 9.2-3
IsMealyElement 11.2-4
IsMealyMachine 11.2-3
IsMealyMachineDomainRep 11.2-6
IsMealyMachineIntRep 11.2-5
IsMinimized 5.2-5
IsMonoidFRElement 11.2-11
IsMonoidFRMachine 11.2-1
IsMonoidFRMealyElement 11.2-12
IsNilElement 8.2-3
IsomorphismFRGroup 7.1-6
IsomorphismFRMonoid 7.1-6
IsomorphismFRSemigroup 7.1-6
IsomorphismLpGroup 7.2-31
IsomorphismMealyGroup 7.1-7
IsomorphismMealyMonoid 7.1-7
IsomorphismMealySemigroup 7.1-7
IsomorphismSubgroupFpGroup 7.2-31
IsP1Map 12.8-13
IsP1Point 12.8-1
IsPeriodicList 12.2-1
IsPlanarKneadingMachine 9.1-8
IsPMComplex 12.7-1
IsPolynomialFRMachine 9.1-1
IsPolynomialGrowthFRElement 5.2-13
IsPolynomialGrowthFRMachine 5.2-13
IsPolynomialGrowthFRSemigroup 7.2-14
IsPolynomialIMGMachine 9.1-1
IsProjectiveRepresentation 12.10-1
IsRecurrentFRSemigroup 7.2-11
IsResiduallyFinite 7.3-5
IsReversible 5.2-4
IsSemigroupFRElement 11.2-11
IsSemigroupFRMachine 11.2-1
IsSemigroupFRMealyElement 11.2-12
IsSphereTriangulation 9.2-3
IsSQUniversal 7.3-6
IsStateClosed 7.2-9
IsSymmetricFRElement 6.1-10
IsTorsionFreeGroup 7.3-2
IsTorsionGroup 7.3-1
IsTrans 12.6-1
IsUpperTriangularFRElement 6.1-10
IsVectorFRMachineRep 11.2-7
IsVHGroup 10.5-1
IsVirtuallySimpleGroup 7.3-4
IsWeaklyFinitaryFRElement 5.2-23
IsWeaklyFinitaryFRSemigroup 7.2-14
JenningsLieAlgebra 12.11-13
KernelOfTrans 12.6-8
KneadingSequence, angle 9.2-8
LambdaElementVHGroup 7.3-4
LamplighterGroup 10.1-31
LargestCommonPrefix 12.2-6
LDUDecompositionFRElement 6.1-11
LevelStabilizer 7.2-8
LimitFRMachine 5.2-26
LimitStates 4.2-11
LinearRepresentationByImages 12.10-3
ListTrans 12.6-9
LocateInTriangulation 9.2-2
MagmaEndomorphismByImagesNC 12.11-5
MagmaHomomorphismByImagesNC 12.11-6
MamaghaniGroup 10.1-28
Mandel 9.1-20
Mating 9.1-16
MatrixQuotient 8.2-1
MaximalSimpleSubgroup 10.5-5
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 10.1-8
MixerMachine 10.1-8
MoebiusMap 12.8-14
MoebiusMap, 2 12.8-14
MoebiusMap, 3 12.8-14
MoebiusMap, 6 12.8-14
NestedMatrixCoefficient 6.1-6
NestedMatrixState 6.1-6
NeumannGroup 10.1-21
NeumannMachine 10.1-21
NewFIFO 12.11-8
NewGroupFRMachine 9.1-6
NewIMGMachine 9.1-6
NewMonoidFRMachine 9.1-6
NewSemigroupFRMachine 9.1-6
Nillity 8.2-3
NormalizedPolynomialFRMachine 9.1-14
NormalizedPolynomialIMGMachine 9.1-14
NormOfBoundedFRElement 5.2-24
Nucleus, FR algebra 8.1-3
Nucleus, FR machine 4.2-13
Nucleus, FR semigroup 7.2-19
NucleusMachine, FR machine 5.2-27
NucleusMachine, FR semigroup 7.2-20
NucleusOfFRAlgebra 8.1-3
NucleusOfFRMachine 4.2-13
NucleusOfFRSemigroup 7.2-19
OneTrans 12.6-10
OrbitGrowth 12.3-1
Output, FR element 4.2-1
Output, FR machine,state 3.4-3
Output, FR machine,state,letter 3.4-3
P1Antipode 12.8-4
P1Barycentre 12.8-5
P1Circumcentre 12.8-6
P1Distance 12.8-7
P1Image 12.8-21
P1infinity 12.8-3
P1MapByCoefficients 12.8-18
P1MapCriticalPoints 12.8-23
P1MapRational 12.8-24
P1MapsFamily 12.8-13
P1MapSL2 12.8-26
P1Midpoint 12.8-8
P1one 12.8-3
P1Path 12.8-19
P1Point 12.8-1
P1Point, ri 12.8-1
P1Point, s 12.8-1
P1PointsFamily 12.8-1
P1PreImages 12.8-22
P1Sphere 12.8-9
P1XRatio 12.8-12
P1z 12.8-15
P1zero 12.8-3
PcGroup 7.2-2
Period 12.2-2
PeriodicList 12.2-2
PeriodicList, list, function 12.2-2
PeriodicList, period, looping point 12.2-2
PeriodicListsFamily 12.2-1
PermGroup 7.2-1
PMCOMPLEX 12.7-1
PMCOMPLEX_FAMILY 12.7-1
PMCOMPLEX_PSEUDOFIELD 12.7-1
PoirierExamples 10.1-5
PolynomialFRMachine 9.1-11
PolynomialGrowthBinaryGroup 10.1-1
PolynomialIMGMachine 9.1-11
PolynomialMealyMachine 9.1-11
Portrait 4.2-5
PortraitInt 4.2-5
PortraitPerm 4.2-5
PositionInTower 12.11-2
PostCriticalMachine 9.1-19
PreImagesOfTrans 12.6-11
PrePeriod 12.2-2
ProductBOIIdeal 12.11-9
ProductIdeal 12.11-9
ProjectiveExtension 12.10-5
ProjectiveQuotient 12.10-6
ProjectiveRepresentationByFunction 12.10-2
PSZAlgebra 10.3-1
PureSurfaceBraidFpGroup 12.5-1
RandomTrans 12.6-12
RankOfTrans 12.6-13
RationalFunction 9.2-4
RationalP1Map 12.8-25
RationalP1Map, im 12.8-25
RattaggiGroup 10.1-25
RenameSubobjects 12.11-3
RestrictedTrans 12.6-14
RotatedSpider 3.3-8
SCAlgebra 8.1-2
SCAlgebraNC 8.1-2
SCAlgebraWithOne 8.1-2
SCAlgebraWithOneNC 8.1-2
SCGroup 7.1-2
SCGroupNC 7.1-2
SCLieAlgebra 8.1-2
SCMonoid 7.1-2
SCMonoidNC 7.1-2
SCSemigroup 7.1-2
SCSemigroupNC 7.1-2
SEARCH@ 12.12-2
SetP1Points 12.8-28
ShiftDirichletSeries 12.9-4
ShortGroupRelations 12.4-1
ShortGroupWordInSet 12.4-2
ShortMonoidRelations 12.4-1
ShortMonoidWordInSet 12.4-2
ShortSemigroupWordInSet 12.4-2
ShrunkDirichletSeries 12.9-5
SidkiFreeAlgebra 10.3-5
SidkiFreeGroup 10.1-18
SidkiMonomialAlgebra 10.3-6
Signatures 5.2-14
SimplifiedIMGMachine 9.1-15
SL2P1Map 12.8-27
SolutionMatMod1 12.11-15
SolutionMatModN 12.11-14
Sphere 12.3-1
SphereP1 12.8-10
SphereP1Y 12.8-11
Spider, m 9.2-3
Spider, r 9.2-3
SpreadDirichletSeries 12.9-3
StabilizerImage 7.2-7
State 4.2-8
StateClosure 7.2-10
StateGrowth 5.2-8
States 4.2-9
StateSet, FR element 4.2-7
StateSet, FR machine 3.4-1
StringByInt 12.11-1
StructuralGroup 3.5-1
StructuralMonoid 3.5-1
StructuralSemigroup 3.5-1
SubFRMachine 3.5-9
SubFRMachine, machine,map 3.5-9
SunicGroup 10.1-9
SunicMachine 10.1-9
SupportingRays 9.1-12
SurfaceBraidFpGroup 12.5-1
TensorProduct 12.1-2
TensorProductOp, FR Machines 3.5-5
TensorSum 12.1-1
TensorSumOp, FR Machines 3.5-4
ThinnedAlgebra 8.2-2
ThinnedAlgebraWithOne 8.2-2
TopElement 5.2-22
TopVertexTransformations 7.2-27
Trans 12.6-2
TRANS_FAMILY 12.6-1
TransformationMonoid 7.2-3
TransformationSemigroup 7.2-4
Transition, FR element,input 4.2-3
Transition, FR machine,state,input 3.4-4
Transition, Linear machine 6.1-4
Transitions 6.1-5
Transitions, FR element 4.2-4
Transitions, FR machine,state 3.4-5
TransList 12.6-2
TransMonoid 7.2-3
TransNC 12.6-2
TransposedFRElement 6.1-10
TransSemigroup 7.2-4
TreeWreathProduct, FR group 7.1-9
TreeWreathProduct, FR machine 3.5-8
UnderlyingFRMachine 3.3-3
UnderlyingMealyElement 11.2-12
ValueOfDirichletSeries 12.9-7
VectorElement 6.1-1
VectorElementNC 6.1-1
VectorMachine 6.1-1
VectorMachineNC 6.1-1
VertexElement 4.1-5
VertexTransformations, FR semigroup 7.2-28
VertexTransformationsFRElement 5.2-15
VertexTransformationsFRMachine 5.2-15
VerticalAction 10.5-2
VHGroup 10.5-3
VHStructure 10.5-1
VirtualEndomorphism 7.2-29
WeaklyBranchedEmbedding 7.1-10
WeierstrassGroup 10.1-29
WordGrowth 12.3-1
WordGrowth, 1arg 12.3-1
WreathRecursion 3.4-6
ZetaSeriesOfGroup 12.9-6
ZugadiSpinalGroup 10.1-23