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Subindex: group-boolean .. groups
General Group Properties (POLYCYCLIC GROUPS)
Braid Groups (COXETER GROUPS)
Construction from Groups, Codes and Designs (GRAPHS)
Operations on Elements (COXETER GROUPS AS
PERMUTATION GROUPS)
Operations on Words (COXETER GROUPS)
Small Group Identification (FINITELY PRESENTED GROUPS)
Operations on Coxeter Groups (COXETER GROUPS)
Operations on Finite Coxeter Groups (COXETER GROUPS AS
PERMUTATION GROUPS)
Properties of Coxeter Groups (COXETER GROUPS AS
PERMUTATION GROUPS)
Group Order (MATRIX GROUPS)
Group Order (PERMUTATION GROUPS)
GROUPS
Properties of Coxeter Groups (COXETER GROUPS)
Basic Group Properties (FINITE SOLUBLE GROUPS)
GrpPC_group-props (Example H19E4)
Group Theoretic Functions (CLASS FIELD THEORY)
RngInvar_GroupActions (Example H75E1)
GroupAlgebra(S) : AlgGrpSub -> AlgGrp
GroupAlgebra( R, G: parameters ) : Rng, Grp -> AlgGrp
GroupAlgebra(R, G) : Rng, Grp -> AlgGrp
GrpAbGen_GroupComputation (Example H21E3)
Grp_GroupConstructors (Example H16E3)
GroupData(D, i): DB, RngIntElt -> Rec
GroupOfLieType( C, k ) : AlgMatElt -> GrpLie
GroupOfLieType( W, k ) : GrpFPCox, Rng -> AlgMatElt
GroupOfLieType( W, k ) : GrpMat, Rng -> GrpLie
GroupOfLieType( W, R ) : GrpPermCox, Rng -> GrpLie
GroupOfLieType( N, k ) : MonStgElt, Rng -> AlgMatElt
GroupOfLieType( C, k ) : Mtrx, Rng -> AlgMatElt
GroupOfLieType( R, k ) : RootDtm, Rng -> AlgMatElt
GroupOfLieType( R, k ) : RootDtm, Rng -> GrpLie
GroupOfLieTypeFactoredOrder( C, q ) : AlgMatElt, RngElt -> RngIntElt
GroupOfLieTypeOrder( R, q ) : AlgMatElt, RngElt -> RngIntElt
RootDtm_GroupOfLieTypeOrder (Example H80E7)
Cartan_GroupOrders (Example H82E15)
NumberOfGroups(D) : DB -> RngIntElt
# D : DB -> RngIntElt
# D : DB -> RngIntElt
# D : DB -> RngIntElt
GeneratepGroups (p, d, c : parameters) : RngIntElt, RngIntElt,RngIntElt -> [GrpPC]
IsolGroupsOfDegreeFieldSatisfying(d, p, f) : RngIntElt, RngIntElt, Predicate -> SeqEnum
IsolGroupsOfDegreeSatisfying(d, f) : RngIntElt, Predicate -> SeqEnum
IsolGroupsSatisfying(f) : Predicate -> SeqEnum
NumberOfGroups(D, d) : DB, RngIntElt -> RngIntElt
NumberOfGroups(D, d) : DB, RngIntElt -> RngIntElt
NumberOfGroups(D, o) : DB, RngIntElt -> RngIntElt
NumberOfGroups(D, o1, o2): DB, RngIntElt, RngIntElt -> RngIntElt, RngIntElt
NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt
NumberOfSmallGroups(o) : RngIntElt -> RngIntElt
NumberOfTransitiveGroups(d) : RngIntElt -> RngIntElt
PrimitiveGroups(d: parameters) : RngIntElt -> [GrpPerm]
PrimitiveGroups(d, f: parameters) : RngIntElt, Program -> [GrpPerm]
PrimitiveGroups(S: parameters) : [RngIntElt] -> [GrpPerm]
SmallGroups(o: parameters) : RngIntElt -> [* Grp *]
SmallGroups(o, f: parameters) : RngIntElt, Program -> [* Grp *]
SmallGroups(S: parameters) : [RngIntElt] -> [* Grp *]
SmallGroups(S, f: parameters) : [RngIntElt], Program -> [* Grp *]
TransitiveGroups(d: parameters) : RngIntElt -> [GrpPerm]
TransitiveGroups(S: parameters) : [RngIntElt] -> [GrpPerm]
TransitiveGroups(d, f) : RngIntElt, Program -> [GrpPerm]
TransitiveGroups(S, f) : [RngIntElt], Program -> [GrpPerm]
Accessing Information (BRAID GROUPS)
Arithmetic Operators and Functions for Elements (BRAID GROUPS)
Automatic Conversions (BRAID GROUPS)
Boolean Predicates for Elements (BRAID GROUPS)
Building Permutation Groups (PERMUTATION GROUPS)
Calculating Cohomology (COHOMOLOGY)
Computing Normal Forms of Elements (BRAID GROUPS)
Computing Positive Conjugates and Super Summit Sets Interactively (BRAID GROUPS)
Computing Super Summit Sets (BRAID GROUPS)
Constructing and Accessing Braid Groups (BRAID GROUPS)
Coxeter and Reflection Groups (INTRODUCTION TO LIE THEORY [LIE THEORY])
COXETER GROUPS
COXETER GROUPS AS
PERMUTATION GROUPS
Creating Elements of a Braid Group (BRAID GROUPS)
Default Presentations (BRAID GROUPS)
FINITE p-GROUPS
FINITELY PRESENTED GROUPS: ADVANCED
Generic Groups (CLASS FIELD THEORY)
Groups (OVERVIEW)
GROUPS OF LIE TYPE
Introduction (BRAID GROUPS)
Introduction (POLYCYCLIC GROUPS)
Lattice Operations (BRAID GROUPS)
Lattice Structure and Canonical Factors (BRAID GROUPS)
Mixed Canonical Form and Lattice Operations (BRAID GROUPS)
Normal Form for Elements of a Braid Group (BRAID GROUPS)
Polycyclic Groups and Polycyclic Presentations (POLYCYCLIC GROUPS)
Positive Conjugates and Super Summit Sets (BRAID GROUPS)
Positive Conjugates, Super Summit Sets and Conjugacy Testing (BRAID GROUPS)
Printing of Elements (BRAID GROUPS)
Representation Used for Group Operations (BRAID GROUPS)
Representing Elements of a Braid Group (BRAID GROUPS)
Structure of congruence subgroups (SUBGROUPS OF PSL_2(R))
Testing Conjugacy of Elements (BRAID GROUPS)
Working with Elements of a Braid Group (BRAID GROUPS)
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