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Subindex: prime  ..  Primitive


prime

   Functions on Prime Ideals (ALGEBRAIC FUNCTION FIELDS)
   Predicates on Prime Ideals (ALGEBRAIC FUNCTION FIELDS)
   Primes and Primality Testing (RING OF INTEGERS)

PrimeBasis

   PrimeDivisors(n) : RngIntElt -> [RngIntElt]
   PrimeBasis(n) : RngIntElt -> [RngIntElt]
   PrimeBasis(n) : RngIntElt -> [RngIntElt]

PrimeComponents

   PrimeComponents(X) : Sch -> SeqEnum

PrimeDivisors

   PrimeDivisors(n) : RngIntElt -> [RngIntElt]
   PrimeBasis(n) : RngIntElt -> [RngIntElt]
   PrimeBasis(n) : RngIntElt -> [RngIntElt]

PrimeField

   PrimeField(F) : Fld -> Fld
   PrimeField(F) : FldFin -> FldFin
   PrimeRing(F) : FldFun -> Rng
   PrimeRing(L) : RngPad -> RngPad

PrimeForm

   PrimeForm(Q, p) : QuadBin, RngIntElt -> QuadBinElt

PrimeIdeal

   PrimeIdeal(S, p) : AlgQuatOrd, RngIntElt -> AlgQuatOrdIdl

PrimePolynomials

   PrimePolynomials(R, d) : RngUPol, RngIntElt -> SeqEnum[ RngUPolElt ]

PrimePowerRepresentation

   PrimePowerRepresentation(x, k, a) : FldFunGElt, RngIntElt, FldFunGElt -> SeqEnum

PrimeRing

   PrimeField(F) : FldFun -> Rng
   PrimeRing(F) : FldFun -> Rng
   PrimeRing(R) : Rng -> Rng
   PrimeRing(L) : RngPad -> RngPad

Primes

   AddPrimes(SQP, p): SQProc, RngIntElt ->
   BadPrimes(C) : CrvCon -> SeqEnum
   BadPrimes(E) : CrvEll -> [ RngIntElt ]
   BadPrimes(C) : CrvHyp -> SeqEnum
   ExtensionPrimes(D, Q) : DB, MonStgElt -> SetEnum
   GModulePrimes(G, A) : GrpFP, GrpFP -> SetMulti
   GModulePrimes(G, A, B) : GrpFP, GrpFP, GrpFP -> SetMulti
   GModulePrimes(G, A) : GrpGPC, GrpGPC -> SetMulti
   GModulePrimes(G, A, B) : GrpGPC, GrpGPC, GrpGPC -> SetMulti
   GetPrimes(SQP) : SQProc -> SetEnum, BoolElt
   Primes(SQP): SQProc ->
   PrimesInInterval(t, b) : RngIntElt, RngIntElt -> [RngIntElt]
   PrimesUpTo(B) : RngIntElt -> [RngIntElt]
   PrintPrimes(SQP) : SQProc ->
   RamifiedPrimes(A) : AlgQuat -> SeqEnum
   ReplacePrimes(SQP, m): SQProc, SetEnum ->

primes

   Calculating the Relevant Primes (FINITELY PRESENTED GROUPS: ADVANCED)
   Relevant Primes (FINITELY PRESENTED GROUPS: ADVANCED)

PrimesInInterval

   PrimesInInterval(t, b) : RngIntElt, RngIntElt -> [RngIntElt]

PrimesUpTo

   PrimesUpTo(B) : RngIntElt -> [RngIntElt]

primgp

   Database of Primitive Groups (DATABASES OF GROUPS)

primgp-data

   Database of Primitive Groups (DATABASES OF GROUPS)

Primitive

   Contpp(f) : RngMPolElt -> RngIntElt, RngMPolElt
   ContentAndPrimitivePart(f) : RngMPolElt -> RngIntElt, RngMPolElt
   ContentAndPrimitivePart(p) : RngUPolElt -> RngIntElt, RngUPolElt
   IsPrimitive(a) : FldAlgElt -> BoolElt
   IsPrimitive(a) : FldFinElt -> BoolElt
   IsPrimitive(G) : GrphUnd -> BoolElt
   IsPrimitive(G) : GrpPerm -> BoolElt
   IsPrimitive(G, Y) : GrpPerm, GSet -> BoolElt
   IsPrimitive(G: parameters) : GrpMat -> BoolElt
   IsPrimitive(n, m) : RngIntElt, RngIntElt -> BoolElt
   IsPrimitive(n) : RngIntResElt -> BoolElt
   IsPrimitive(f) : RngUPolElt -> BoolElt
   IsolIsPrimitive(n, p, i) : RngIntElt, RngIntElt, RngIntElt -> BoolElt
   NonPrimitiveAlternantCode(n, m, r) : RngIntElt,RngIntElt,RngIntElt->Code
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt
   PrimitiveElement(F) : FldFin -> FldFinElt
   PrimitiveElement(K) : FldNum -> FldNumElt
   PrimitiveElement(O) : RngFunOrd -> RngFunOrdElt
   PrimitiveElement(R) : RngIntRes -> RngIntResElt
   PrimitiveElement(O) : RngOrd -> RngOrdElt
   PrimitiveElement(I) : RngOrdIdl -> RngOrdElt
   PrimitiveGroup(d) : RngIntElt -> GrpPerm, MonStgElt, MonStgElt
   PrimitiveGroup(d, f) : RngIntElt, Program -> GrpPerm, MonStgElt
   PrimitiveGroup(d, n) : RngIntElt, RngIntElt -> GrpPerm, MonStgElt, MonStgElt
   PrimitiveGroup(S, f) : [RngIntElt], Program -> GrpPerm, MonStgElt
   PrimitiveGroupDatabaseLimit() : -> RngIntElt
   PrimitiveGroupDescription(d, n) : RngIntElt, RngIntElt -> MonStgElt
   PrimitiveGroupIdentification(G) : GrpPerm -> RngIntElt, RngIntElt
   PrimitiveGroupProcess(d: parameters) : RngIntElt -> Process
   PrimitiveGroupProcess(d, f: parameters) : RngIntElt, Program -> Process
   PrimitiveGroups(d: parameters) : RngIntElt -> [GrpPerm]
   PrimitiveGroups(d, f: parameters) : RngIntElt, Program -> [GrpPerm]
   PrimitiveGroups(S: parameters) : [RngIntElt] -> [GrpPerm]
   PrimitiveIdempotentData(A) : AlgMat -> SeqEnum, Map, SeqEnum
   PrimitiveIdempotents(A) : AlgMat -> SeqEnum
   PrimitivePart(f) : RngMPolElt -> RngMPolElt
   PrimitivePart(p) : RngUPolElt -> RngUPolElt
   PrimitivePolynomial(F, m) : FldFin, RngIntElt -> RngUPolElt
   PrimitiveQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
   PrimitiveRoot(m) : RngIntElt -> RngIntElt
   PrimitiveWreathProduct(G, H) : GrpPerm, GrpPerm -> GrpPerm
   PrimitiveWreathProduct(Q) : [ GrpPerm ] -> GrpPerm
   RanksOfPrimitiveIdempotents(A) : AlgMat -> SeqEnum
   SetPrimitiveElement(F, x) : FldFin, FldFinElt ->
   GrpData_Primitive (Example H28E10)


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