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Subindex: free  ..  FrobeniusAutomorphism


free

   Construction of a Free Group (FINITELY PRESENTED GROUPS)
   Creation of Free Algebras (FINITELY PRESENTED ALGEBRAS)
   Free Modules (FREE MODULES)
   Free Resolutions (MODULES OVER AFFINE ALGEBRAS)
   Free Resolutions (MODULES OVER AFFINE ALGEBRAS)
   Structure Constructors (BLACK-BOX GROUPS)
   Structure Constructors (FINITELY PRESENTED ABELIAN GROUPS)
   Structure Constructors (FINITELY PRESENTED SEMIGROUPS)
   Structure Constructors (GROUPS OF STRAIGHT-LINE PROGRAMS)

free-modules

   Free Modules (FREE MODULES)

free-resolution

   Free Resolutions (MODULES OVER AFFINE ALGEBRAS)
   Free Resolutions (MODULES OVER AFFINE ALGEBRAS)

FreeAbelianGroup

   FreeAbelianGroup(GrpGPC, n) : Cat, RngIntElt -> GrpGPC
   FreeAbelianGroup(n) : RngIntElt -> GrpAb
   GrpAb_FreeAbelianGroup (Example H29E1)

FreeAbelianQuotient

   FreeAbelianQuotient(G) : GrpAb -> GrpAb, Map
   FreeAbelianQuotient(G) : GrpGPC -> GrpAb, Map

FreeAlgebra

   FreeAlgebra(K, n) : Fld, RngIntElt -> AlgFr
   FreeAlgebra(R, M) : Rng, MonFP -> AlgFPOld

FreeGroup

   FreeGroup(n) : RngIntElt -> GrpFP

FreeLie

   AlgFPL_FreeLie (Example H91E1)

FreeLieAlgebra

   FreeLieAlgebra(F, n) : Rng, RngIntElt -> AlgFPLie
   AlgFPL_FreeLieAlgebra (Example H91E2)

FreeMonoid

   FreeMonoid(n) : RngIntElt -> MonFP

FreeNilpotentGroup

   FreeNilpotentGroup(r, e) : RngIntElt, RngIntElt -> GrpGPC

FreeProduct

   FreeProduct(G, H) : GrpFP, GrpFP -> GrpFP
   FreeProduct(R, S) : SgpFP, SgpFP -> SgpFP
   FreeProduct(Q) : [ GrpFP ] -> GrpFP

FreeResolution

   FreeResolution(M) : ModMPol -> ModCpx, ModMatRngElt
   FreeResolution(M) : ModMPol -> [ ModMPol ]
   FreeResolution(R) : RngInvar -> [ ModMPol ]
   PMod_FreeResolution (Example H96E10)
   PMod_FreeResolution (Example H96E3)
   PMod_FreeResolution (Example H96E4)

FreeSemigroup

   FreeSemigroup(n) : RngIntElt -> SgpFP
   SgpFP_FreeSemigroup (Example H16E1)

freeze

   freeze;

Frequency

   DecompositionTypeFrequency(A, a, b) : FldAb, RngIntElt, RngIntElt -> Mset
   DecompositionTypeFrequency(A, l) : FldAb, [ ] -> Mset

Frobenius

   Frobenius Homomorphism (SYMMETRIC FUNCTIONS)
   Frobenius(s) : AlgSymElt -> AlgSymElt
   Frobenius(P, k) : JacHypPt, FldFin -> JacHypPt
   Frobenius(P,q) : PtEll[FldFunRat], RngIntElt -> PtEll
   Frobenius(P, F) : PtHyp, FldFin -> PtHyp
   FrobeniusActionOnPoints(s, q : parameters) : [ PtEll ], RngIntElt -> AlgMatElt
   FrobeniusActionOnReducibleFiber(L) : < Tup > -> AlgMatElt
   FrobeniusActionOnTrivialLattice(E) : CrvEll -> AlgMatElt
   FrobeniusAutomorphism(A, p) : FldAb, RngOrdIdl -> Map
   FrobeniusAutomorphisms(G) : GrpMat -> SeqEnum
   FrobeniusForm(A) : AlgMatElt -> SeqEnum
   FrobeniusImage(A, e) : Mtrx, RngIntElt -> Mtrx
   FrobeniusImage(e) : RngWittElt -> RngWittElt
   FrobeniusMap(E) : CrvEll -> Map
   FrobeniusMap(E, i) : CrvEll, RngIntElt -> Map
   FrobeniusMap(W) : RngWitt -> Map
   FrobeniusPolynomial(A, P) : ModAbVar, RngOrdIdl -> RngUPolElt
   FrobeniusPolynomial(A : parameters) : ModAbVar -> RngUPolElt
   FrobeniusPolynomial(A, p : parameters) : ModAbVar, RngIntElt -> RngUPolElt
   FrobeniusTraceDirect(E, p) : CrvEll, RngIntElt -> RngIntElt
   IsFrobenius(G) : GrpPerm -> BoolElt
   MultiplyFrobenius(b,f,F) : RngElt, RngUPolElt, Map -> RngElt
   Trace(H): SetPtEll -> RngIntElt
   Trace(H, r): SetPtEll, RngIntElt -> RngIntElt
   TracesOfFrobenius(E, B) : CrvEll, RngIntElt -> SeqEnum
   CrvEll_Frobenius (Example H102E58)

frobenius

   Action of Frobenius (ELLIPTIC CURVES OVER FUNCTION FIELDS)
   Frobenius (HYPERELLIPTIC CURVES)
   Frobenius (HYPERELLIPTIC CURVES)

Frobenius automorphism

   AlgSym_Frobenius automorphism (Example H116E14)

frobenius-action

   Action of Frobenius (ELLIPTIC CURVES OVER FUNCTION FIELDS)

Frobenius-Automorphism

   Frobenius Homomorphism (SYMMETRIC FUNCTIONS)

FrobeniusActionOnPoints

   FrobeniusActionOnPoints(s, q : parameters) : [ PtEll ], RngIntElt -> AlgMatElt

FrobeniusActionOnReducibleFiber

   FrobeniusActionOnReducibleFiber(L) : < Tup > -> AlgMatElt

FrobeniusActionOnTrivialLattice

   FrobeniusActionOnTrivialLattice(E) : CrvEll -> AlgMatElt

FrobeniusAutomorphism

   FrobeniusAutomorphism(A, p) : FldAb, RngOrdIdl -> Map


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