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Subindex: CycleCount  ..    CyclotomicPolynomial




CycleCount

   CycleCount(fn) : MonStgElt -> RngIntElt

   CycleCount(P) : NFSProc -> RngIntElt


CycleDecomposition

   CycleDecomposition(e) : GrpPermElt -> SeqEnum[SetIndx]


Cycles

   Random(B, r, s, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> GrpBrdElt

   RandomCFP(B, r, s, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt -> GrpBrdElt

   IsProductOfParallelDescendingCycles(p) : GrpPermElt -> BoolElt


CycleStructure

   CycleStructure(g) : GrpPermElt -> [ <RngIntElt, RngIntElt> ]


Cyclic

   CyclicSubgroups(G) : GrpPC -> SeqEnum

   ElementaryAbelianSubgroups(G) : GrpPC -> SeqEnum

   NilpotentSubgroups(G) : GrpPC -> SeqEnum

   AbelianSubgroups(G) : GrpPC -> SeqEnum

   ClassGroupCyclicFactorGenerators(O) : RngOrd -> ModHomElt

   ConstaCyclicCode(f, n, alpha) : RngUPolElt, RngIntElt, FldFinElt -> Code

   CyclicCode(u) : ModTupRngElt -> Code

   CyclicCode(u) : ModTupRngElt -> Code

   CyclicCode(n, g) : RngIntElt, RngUPolElt -> Code

   CyclicCode(n, g) : RngIntElt, RngUPolElt -> Code

   CyclicCode(n, T, K) : RngIntElt, [ FldFinElt ], FldFin -> Code

   CyclicGroup(C, n) : Cat, RngIntElt -> GrpFin

   CyclicGroup(GrpFP, n) : Cat, RngIntElt -> GrpFP

   CyclicGroup(GrpGPC, n) : Cat, RngIntElt -> GrpGPC

   CyclicGroup(GrpPC, n) : Cat, RngIntElt -> GrpPC

   CyclicGroup(GrpPerm, n) : Cat, RngIntElt -> GrpPerm

   CyclicSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]

   CyclicSubgroups(G: parameters) : GrpPerm -> [ rec< GrpPerm, RngIntElt, RngIntElt, GrpFP> ]

   IsCyclic(C) : Code -> BoolElt

   IsCyclic(C) : Code -> BoolElt

   IsCyclic(G) : GrpAb -> BoolElt

   IsCyclic(G) : GrpFin -> BoolElt

   IsCyclic(G) : GrpGPC -> BoolElt

   IsCyclic(G) : GrpMat -> BoolElt

   IsCyclic(G) : GrpPC -> BoolElt

   IsCyclic(G) : GrpPerm -> BoolElt

   QuasiCyclicCode(n, Gen, h) : RngIntElt, SeqEnum, RngIntElt -> Code

   QuasiCyclicCode(Gen) : RngIntElt, [ ModTupRngElt ] -> Code

   QuasiCyclicCode(n, Gen) : RngIntElt, [ RngUPolElt ] -> Code

   QuasiCyclicCode(Gen, h) : [ModTupRngElt] , RngIntElt -> Code

   QuasiTwistedCyclicCode(n, Gen, alpha) : RngIntElt, [RngUPolElt], FldFinElt -> Code

   QuasiTwistedCyclicCode(Gen, alpha) : [ModTupRngElt], FldFinElt -> Code


cyclic

   Construction of General Cyclic Codes (LINEAR CODES OVER FINITE RINGS)

   Cyclic and Quasicyclic Codes (LINEAR CODES OVER FINITE FIELDS)


cyclic-galois-ring

   CodeRng_cyclic-galois-ring (Example H108E6)


Cyclic6

   FldAC_Cyclic6 (Example H55E5)

   GB_Cyclic6 (Example H47E2)


CyclicCode

   CyclicCode(u) : ModTupRngElt -> Code

   CyclicCode(u) : ModTupRngElt -> Code

   CyclicCode(n, g) : RngIntElt, RngUPolElt -> Code

   CyclicCode(n, g) : RngIntElt, RngUPolElt -> Code

   CyclicCode(n, T, K) : RngIntElt, [ FldFinElt ], FldFin -> Code

   CodeFld_CyclicCode (Example H107E5)

   CodeRng_CyclicCode (Example H108E5)


CyclicGroup

   CyclicGroup(C, n) : Cat, RngIntElt -> GrpFin

   CyclicGroup(GrpFP, n) : Cat, RngIntElt -> GrpFP

   CyclicGroup(GrpGPC, n) : Cat, RngIntElt -> GrpGPC

   CyclicGroup(GrpPC, n) : Cat, RngIntElt -> GrpPC

   CyclicGroup(GrpPerm, n) : Cat, RngIntElt -> GrpPerm


CyclicSubgroups

   CyclicSubgroups(G) : GrpPC -> SeqEnum

   ElementaryAbelianSubgroups(G) : GrpPC -> SeqEnum

   NilpotentSubgroups(G) : GrpPC -> SeqEnum

   AbelianSubgroups(G) : GrpPC -> SeqEnum

   CyclicSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]

   CyclicSubgroups(G: parameters) : GrpPerm -> [ rec< GrpPerm, RngIntElt, RngIntElt, GrpFP> ]


Cyclotomic

   CyclotomicFactors(n) : RngIntElt -> [RngUPolElt]

   CyclotomicField(m) : RngIntElt -> FldCyc

   CyclotomicOrder(K) : FldCyc -> RngIntElt

   CyclotomicPolynomial(m) : RngIntElt -> RngUPolElt


cyclotomic

   CYCLOTOMIC FIELDS

   Functions Returning a Scalar (CHARACTERS OF FINITE GROUPS)

   Rings, Fields, and Algebras (OVERVIEW)


cyclotomic-extension

   FldAb_cyclotomic-extension (Example H54E8)


CyclotomicFactors

   CyclotomicFactors(n) : RngIntElt -> [RngUPolElt]


CyclotomicField

   CyclotomicField(m) : RngIntElt -> FldCyc


CyclotomicOrder

   CyclotomicOrder(K) : FldCyc -> RngIntElt


CyclotomicPolynomial

   CyclotomicPolynomial(m) : RngIntElt -> RngUPolElt




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