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Subindex: power  ..  pRank


power

   Operators (OVERVIEW)
   Parents of Sets and Sequences (INTRODUCTION TO AGGREGATES [SETS, SEQUENCES, AND MAPPINGS])
   Power Groups (POLYCYCLIC GROUPS)
   Power Sequences (SEQUENCES)
   Power Sets (SETS)
   POWER, LAURENT AND PUISEUX SERIES
   PowerGroup (FINITE SOLUBLE GROUPS)
   Rings, Fields, and Algebras (OVERVIEW)
   Symmetric Powers (DIFFERENTIAL RINGS, FIELDS AND OPERATORS)
   Transition Matrices from Power Sum Basis (SYMMETRIC FUNCTIONS)

power-group

   Power Groups (POLYCYCLIC GROUPS)
   PowerGroup (FINITE SOLUBLE GROUPS)

power-sequence

   Power Sequences (SEQUENCES)

power-set

   Power Sets (SETS)

power-set-sequence

   Parents of Sets and Sequences (INTRODUCTION TO AGGREGATES [SETS, SEQUENCES, AND MAPPINGS])

PowerFormalSet

   PowerFormalSet(R) : Struct -> PowSetIndx

PowerGroup

   PowerGroup(G) : GrpPC -> PowerGroup

PowerGroupTwo

   GrpPC_PowerGroupTwo (Example H22E29)

PowerIdeal

   PowerIdeal(R) : Rng -> PowIdl

PowerIndexedSet

   PowerIndexedSet(R) : Struct -> PowSetIndx

powering

   AlgGrp_powering (Example H77E5)

PowerMap

   PowerMap(G) : GrpAb -> Map
   PowerMap(G) : GrpFin -> Map
   PowerMap(G) : GrpMat -> Map
   PowerMap(G) : GrpPC -> Map
   PowerMap(G) : GrpPerm -> Map

PowerMultiset

   PowerMultiset(R) : Struct -> PowSetMulti

PowerPolynomial

   PowerPolynomial(f,n) : RngUPolElt, RngIntElt -> RngUPolElt

PowerRelation

   PowerRelation(r, k: parameters) : FldReElt, RngIntElt -> RngUPolElt

PowerResidueCode

   PowerResidueCode(K, n, p) : FldFin, RngIntElt, RngIntElt -> Code

PowerSequence

   PowerSequence(R) : Struct -> PowSeqEnum
   Seq_PowerSequence (Example H10E2)

PowerSeries

   PowerSeries(M, prec) : ModSym, RngIntElt -> RngSerPowElt
   qEigenform(M, prec) : ModSym, RngIntElt -> RngSerPowElt
   qExpansion(f) : ModFrmElt -> RngSerPowElt

PowerSeriesRing

   PowerSeriesRing(R) : Rng -> RngSerPow

PowerSet

   PowerSet(R) : Struct -> PowSetEnum
   Set_PowerSet (Example H9E6)

PowerSumToElementaryMatrix

   PowerSumToElementaryMatrix(n): RngIntElt -> AlgMatElt

PowerSumToHomogeneousMatrix

   PowerSumToHomogeneousMatrix(n): RngIntElt -> AlgMatElt

PowerSumToMonomialMatrix

   PowerSumToMonomialMatrix(n): RngIntElt -> AlgMatElt

PowerSumToSchurMatrix

   PowerSumToSchurMatrix(n): RngIntElt -> AlgMatElt

pPlus1

   pPlus1(n, B1) : RngIntElt, RngIntElt -> RngIntElt

pPower

   pPowerTorsion(E, p) : CrvEll, RngIntElt -> GrpAb, Map

pPowerTorsion

   pPowerTorsion(E, p) : CrvEll, RngIntElt -> GrpAb, Map

pPrimary

   pPrimaryComponent(A, p) : GrpAb, RngIntElt -> GrpAb
   pPrimaryInvariants(A, p) : GrpAb, RngIntElt -> [ RngIntElt ]

pPrimaryComponent

   pPrimaryComponent(A, p) : GrpAb, RngIntElt -> GrpAb

pPrimaryInvariants

   pPrimaryInvariants(A, p) : GrpAb, RngIntElt -> [ RngIntElt ]

pQuotient

   pQuotient(L, M) : AlgLie, AlgLie -> AlgLie
   pQuotient(G, p, c) : GrpMat, RngIntElt, RngIntElt -> GrpPC, Map, SeqEnum, BoolElt
   pQuotient(G, p, c) : GrpPerm, RngIntElt, RngIntElt -> GrpPC, Map, SeqEnum, BoolElt
   pQuotient( F, p, c : parameters ) : GrpFP, RngIntElt, RngIntElt -> GrpPC, Map
   pQuotient(G, p, c : parameters ) : GrpPC, RngIntElt, RngIntElt -> GrpPC, Map
   pQuotient(F, p, c: parameters) : GrpFP, RngIntElt, RngIntElt -> GrpPC, Map
   pQuotient(F, p, c: parameters) : GrpFP, RngIntElt, RngIntElt -> GrpPC, Map, SeqEnum , BoolElt
   pQuotientProcess(F, p, c: parameters) : GrpFP, RngIntElt, RngIntElt -> Process

pQuotient1

   GrpFP_1_pQuotient1 (Example H30E26)

pQuotient2

   GrpFP_1_pQuotient2 (Example H30E27)

pQuotient3

   GrpFP_1_pQuotient3 (Example H30E28)

pQuotient4

   GrpFP_1_pQuotient4 (Example H30E29)

pQuotient5

   GrpFP_2_pQuotient5 (Example H31E9)

pQuotient6

   GrpFP_2_pQuotient6 (Example H31E10)

pQuotient7

   GrpFP_2_pQuotient7 (Example H31E11)

pQuotient8

   GrpFP_2_pQuotient8 (Example H31E12)

pQuotientProcess

   pQuotientProcess(F, p, c: parameters) : GrpFP, RngIntElt, RngIntElt -> Process

PQuotients

   HasAllPQuotientsMetacyclic (G): GrpFP -> BoolElt, SeqEnum

pRadical

   pRadical(O, p) : RngFunOrd, RngFunOrdIdl -> RngFunOrdIdl
   pRadical(O, p) : RngFunOrd, RngFunOrdIdl -> RngFunOrdIdl
   pRadical(O, p) : RngOrd, RngIntElt -> RngOrdIdl

PRank

   ClassGroupPRank(C) : Crv[FldFin] -> RngIntElt
   ClassGroupPRank(F) : FldFunG -> RngIntElt
   ClassGroupPRank(F) : FldFunG -> RngIntElt

pRank

   pRank(D, p) : Inc, RngIntElt -> RngIntElt
   pRank(P) : Plane -> RngIntElt
   pRank(P, p) : Plane -> RngIntElt


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