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Subindex: fp-group-conversion  ..  Free


fp-group-conversion

   Conversion from a Special Form of FP-Group (FINITELY PRESENTED GROUPS)

fp-group-conversion-coxeter-group

   Construction of the Standard Presentation for a Coxeter Group (FINITELY PRESENTED GROUPS)

fp-group-quotient

   The Quotient Group Constructor (FINITELY PRESENTED GROUPS)

FPCoxeterGroups

   GrpFP_1_FPCoxeterGroups (Example H26E12)

FPGroup

   FPGroup(A) : GrpAb -> GrpFP, Hom(Grp)
   FPGroup(A) : GrpAuto -> GrpFP, Map
   FPGroup(G) : GrpGPC -> GrpFP, Map
   FPGroup(G) : GrpMat :-> GrpFP, Hom(Grp)
   FPGroup(G) : GrpPC -> GrpFP, Hom(Grp)
   FPGroup(G) : GrpPC -> GrpFP, Map
   FPGroup(G) : GrpPerm -> GrpFP, Hom(Grp)
   FPGroup(G) : GrpPerm :-> GrpFP, Hom(Grp)
   FPGroup(CM) : ModCoho -> Grp, HomGrp
   FPGroup(G: parameters) : GrpPerm :-> GrpFP, Hom(Grp)
   FPGroupStrong(G) : GrpMat :-> GrpFP, Hom(Grp)
   FPGroupStrong(G) : GrpPerm -> GrpFP, Hom(Grp)
   FPGroupStrong(G, N) : GrpPerm, GrpPerm -> GrpFP, Hom(Grp)
   FPGroupStrong(G: parameters) : GrpPerm :-> GrpFP, Hom(Grp)
   OuterFPGroup(A) : GrpAuto -> GrpFP, Map
   Grp_FPGroup (Example H16E10)

FPGroup1

   GrpFP_1_FPGroup1 (Example H26E11)

FPGroup2

   GrpFP_1_FPGroup2 (Example H26E13)

FPGroupStrong

   FPGroupStrong(G) : GrpMat :-> GrpFP, Hom(Grp)
   FPGroupStrong(G) : GrpPerm -> GrpFP, Hom(Grp)
   FPGroupStrong(G, N) : GrpPerm, GrpPerm -> GrpFP, Hom(Grp)
   FPGroupStrong(G: parameters) : GrpPerm :-> GrpFP, Hom(Grp)

FPQuotient

   FPQuotient(G, N) : GrpPerm, GrpPerm :-> GrpFP, Hom(Grp)

fprintf

   fprintf file, format, expression, ..., expression;

frac

   frac< R | a_1, ..., a_r > : Rng, RngElt, ..., RngElt -> Fld, Map

Fraction

   ContinuedFraction(r) : FldPrElt -> [ RngIntElt ]
   PartialFractionDecomposition(f) : FldFunRatUElt -> [ <RngUPolElt, RngIntElt, RngUPolElt> ]
   SquarefreePartialFractionDecomposition(f) : FldFunRatUElt -> [ <RngUPolElt, RngIntElt, RngUPolElt> ]

fraction

   Continued Fractions (REAL AND COMPLEX FIELDS)
   Partial Fraction Decomposition (RATIONAL FUNCTION FIELDS)
   Rings, Fields, and Algebras (OVERVIEW)

Fractions

   FieldOfFractions(Q) : FldRat -> FldRat
   FieldOfFractions(O) : RngFunOrd -> FldFun
   FieldOfFractions(Z) : RngInt -> FldRat
   FieldOfFractions(O) : RngOrd -> FldOrd
   FieldOfFractions(R) : RngPad -> FldPad
   FieldOfFractions(P) : RngPol -> FldFunRat
   FieldOfFractions(V) : RngVal -> Rng

fractions

   RngOrd_fractions (Example H50E5)

Frattini

   FrattiniSubgroup(G) : GrpAb -> GrpAb
   FrattiniSubgroup(G) : GrpFin -> GrpFin
   FrattiniSubgroup(G) : GrpMat -> GrpMat
   FrattiniSubgroup(G) : GrpPC -> GrpPC
   FrattiniSubgroup(G) : GrpPerm -> GrpPerm

FrattiniSubgroup

   FrattiniSubgroup(G) : GrpAb -> GrpAb
   FrattiniSubgroup(G) : GrpFin -> GrpFin
   FrattiniSubgroup(G) : GrpMat -> GrpMat
   FrattiniSubgroup(G) : GrpPC -> GrpPC
   FrattiniSubgroup(G) : GrpPerm -> GrpPerm

Free

   FreeAbelianGroup(GrpGPC, n) : Cat, RngIntElt -> GrpGPC
   FreeAbelianGroup(n) : RngIntElt -> GrpAb
   FreeAbelianQuotient(G) : GrpAb -> GrpAb, Map
   FreeAbelianQuotient(G) : GrpGPC -> GrpAb, Map
   FreeAlgebra(R, M) : Rng, MonFP -> AlgFP
   FreeGroup(n) : RngIntElt -> GrpFP
   FreeMonoid(n) : RngIntElt -> MonFP
   FreeNilpotentGroup(r, e) : RngIntElt, RngIntElt -> GrpGPC
   FreeProduct(G, H) : GrpFP, GrpFP -> GrpFP
   FreeProduct(R, S) : SgpFP, SgpFP -> SgpFP
   FreeProduct(Q) : [ GrpFP ] -> GrpFP
   FreeResolution(M) : ModMPol -> [ ModMPol ]
   FreeResolution(R) : RngInvar -> [ ModMPol ]
   FreeSemigroup(n) : RngIntElt -> SgpFP
   IsBasePointFree(L) : LinSys -> BoolElt
   MinimalFreeResolution(M) : ModMPol -> [ ModMPol ]
   MinimalFreeResolution(M) : ModMPol -> [ ModMPol ]
   SquareFreeFactorization(f) : RngUPolElt -> [ < RngUPolElt, RngIntElt > ]
   TorsionFreeRank(A) : GrpAb -> RngIntElt
   TorsionFreeRank(G) : GrpFP -> RngIntElt
   TorsionFreeSubgroup(A) : GrpAb -> GrpAb
   GrpFP_1_Free (Example H26E1)


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