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Subindex: fp-algebra  ..  Free


fp-algebra

   Finitely Presented Algebras (FINITELY PRESENTED ALGEBRAS)

fp-group

   Generators and Relations (PERMUTATION GROUPS)

fp-group-construction

   Construction of an FP-Group (FINITELY PRESENTED GROUPS)

fp-group-constructor

   Construction from a Finite Permutation or Matrix Group (FINITELY PRESENTED GROUPS)
   The FP-Group Constructor (FINITELY PRESENTED GROUPS)

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)

fp-lie-alg

   FINITELY PRESENTED LIE ALGEBRAS

FPAlgebra

   FPAlgebra< K, X | L > : Fld, List, List -> AlgFP

FPCoxeterGroups

   GrpFP_1_FPCoxeterGroups (Example H30E12)

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 H18E12)

FPGroup1

   GrpFP_1_FPGroup1 (Example H30E11)

FPGroup2

   GrpFP_1_FPGroup2 (Example H30E13)

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;

Fraction

   ContinuedFraction(r) : FldReElt -> [ 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(R) : RngDiff -> RngDiff, Map
   FieldOfFractions(O) : RngFunOrd -> FldFunOrd
   FieldOfFractions(Z) : RngInt -> FldRat
   FieldOfFractions(O) : RngOrd -> FldOrd
   FieldOfFractions(R) : RngPad -> FldPad
   FieldOfFractions(E) : RngSerExt -> RngSerExt
   FieldOfFractions(P) : RngUPol -> FldFunRat
   FieldOfFractions(V) : RngVal -> Rng
   RingOfFractions(R) : RngDiff -> RngDiff, Map
   RingOfFractions(Q) : RngMPolRes -> RngFunFrac

fractions

   RngOrd_fractions (Example H48E5)

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(K, n) : Fld, RngIntElt -> AlgFr
   FreeAlgebra(R, M) : Rng, MonFP -> AlgFPOld
   FreeGroup(n) : RngIntElt -> GrpFP
   FreeLieAlgebra(F, n) : Rng, RngIntElt -> AlgFPLie
   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 -> ModCpx, ModMatRngElt
   FreeResolution(M) : ModMPol -> [ ModMPol ]
   FreeResolution(R) : RngInvar -> [ ModMPol ]
   FreeSemigroup(n) : RngIntElt -> SgpFP
   IsBasePointFree(L) : LinearSys -> BoolElt
   MinimalFreeResolution(M) : ModMPol -> ModCpx, ModMatRngElt
   MinimalFreeResolution(M) : ModMPol -> [ ModMPol ]
   MinimalFreeResolution(R) : RngInvar -> [ ModMPol ]
   NaturalFreeAlgebraCover(A) : AlgMat -> Map
   NaturalFreeAlgebraCover(A) : AlgMat -> Map
   SquareFreeFactorization(f) : RngUPolElt -> [ < RngUPolElt, RngIntElt > ]
   TorsionFreeRank(A) : GrpAb -> RngIntElt
   TorsionFreeRank(G) : GrpFP -> RngIntElt
   TorsionFreeSubgroup(A) : GrpAb -> GrpAb
   GrpFP_1_Free (Example H30E1)


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