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Subindex: PGroupStrong  ..    Places




PGroupStrong

   PGroupStrong(G) : GrpMat -> GrpFP, Hom(Grp)

   FPGroupStrong(G) : GrpPerm -> GrpFP, Hom(Grp)


PGU

   PGU(arguments)

   ProjectiveGeneralUnitaryGroup(arguments)


Phi

   EulerPhi(n) : RngIntElt -> RngIntElt

   EulerPhiInverse(m) : RngIntElt -> RngIntElt

   FactoredEulerPhi(n) : RngIntElt -> RngIntEltFact

   FactoredEulerPhiInverse(n) : RngIntElt -> RngIntEltFact

   IsogenyMapPhi(I) : Map -> RngUPolElt

   IsogenyMapPhiMulti(I) : Map -> RngUPolElt


PHom

   PHom(M,N) : ModAlg, ModAlg -> ModMatFld


Pi

   Pi(R) : FldPr -> FldPrElt


pi

   Hall pi-Subgroups and Sylow Systems (FINITE SOLUBLE GROUPS)


Picard

   PicardNumber(O) : RngQuad -> RngIntElt

   PicardGroup(O) : RngQuad -> GrpAb, Map


PicardGroup

   PicardNumber(O) : RngQuad -> RngIntElt

   PicardGroup(O) : RngQuad -> GrpAb, Map


PicardNumber

   PicardNumber(O) : RngQuad -> RngIntElt

   PicardGroup(O) : RngQuad -> GrpAb, Map


PID

   IsPrincipalIdealDomain(R) : Rng -> BoolElt

   IsPID(R) : Rng -> BoolElt


Pipe

   Pipe(C, S) : MonStgElt, MonStgElt -> MonStgElt


PIR

   IsPrincipalIdealRing(R) : Rng -> BoolElt

   IsPIR(R) : Rng -> BoolElt


Place

   CurvePlace(P) : PlcFunElt -> PlcCrvElt

   S ! P : PlcCrv, PlcFunElt -> PlcCrvElt

   S ! I : PlcFun, RngFunOrdIdl -> PlcFunElt

   FunctionFieldPlace(P) : PlcCrvElt -> PlcFunElt

   HasPlace(F, m) : FldFun, RngIntElt -> BoolElt, PlcFunElt

   HasPlace(F, m) : FldFun, RngIntElt -> PlcFunElt

   IsWeierstrassPlace(P) : PlcCrvElt -> BoolElt

   IsWeierstrassPlace(P) : PlcFunElt -> BoolElt

   Place(C,m) : Crv,RngIntElt -> BoolElt,PlcCrvElt

   Place(p) : Pt -> PlcCrvElt

   Place(I) : RngFunOrdIdl -> PlcFunElt

   Place(I) : RngOrdIdl -> PlcNumElt

   Place(Q) : SeqEnum -> PlcCrvElt

   PlaceEnumCopy(R) : PlcEnum -> PlcEnum

   PlaceEnumCurrent(R) : PlcEnum -> PlcFunElt

   PlaceEnumInit(K) : FldFun -> PlcEnum

   PlaceEnumInit(K, Pos) : FldFun, [RngIntElt]) -> PlcEnum

   PlaceEnumInit(P) : PlcFunElt -> PlcEnum

   PlaceEnumNext(R) : PlcEnum -> PlcFunElt

   PlaceEnumPosition(R) : PlcEnum -> [RngIntElt]

   RandomPlace(F, m) : FldFun, RngIntElt -> BoolElt, PlcFunElt

   RandomPlace(F, m) : FldFun, RngIntElt -> BoolElt, PlcFunElt


place

   Enumeration of Places (ALGEBRAIC FUNCTION FIELDS)


place-creation

   FldFunG_place-creation (Example H57E27)


place-enumeration

   Enumeration of Places (ALGEBRAIC FUNCTION FIELDS)


place-equations

   Crv_place-equations (Example H88E15)


PlaceEnumCopy

   PlaceEnumCopy(R) : PlcEnum -> PlcEnum


PlaceEnumCurrent

   PlaceEnumCurrent(R) : PlcEnum -> PlcFunElt


PlaceEnumInit

   PlaceEnumInit(K) : FldFun -> PlcEnum

   PlaceEnumInit(K, Pos) : FldFun, [RngIntElt]) -> PlcEnum

   PlaceEnumInit(P) : PlcFunElt -> PlcEnum


PlaceEnumNext

   PlaceEnumNext(R) : PlcEnum -> PlcFunElt


PlaceEnumPosition

   PlaceEnumPosition(R) : PlcEnum -> [RngIntElt]


Places

   Places (ALGEBRAIC FUNCTION FIELDS)

   NumberOfPlaces(C, m) : Crv, RngIntElt -> RngIntElt

   NumberOfPlaces(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlaces(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOne(C) : Crv -> RngIntElt

   NumberOfPlacesOfDegreeOne(C, m) : Crv, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOne(m, U) : DivFunElt, GrpAb -> RngIntElt

   NumberOfPlacesOfDegreeOne(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOne(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOne(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOneBound(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneBound(F, m) : FldFun, RngIntElt -> RngIntElt

   Places(C) : Crv -> PlcCrv

   Places(C,m) : Crv,RngIntElt -> SeqEnum

   Places(F) : FldFun -> PlcFun

   Places(F) : FldFun -> PlcFun

   Places(F) : FldFun -> PlcFun

   Places(F, m) : FldFun, RngIntElt -> SeqEnum[PlcFunElt]

   Places(F, m) : FldFun, RngIntElt -> SeqEnum[PlcFunElt]

   Places(F, m) : FldFun, RngIntElt -> SeqEnum[PlcFunElt]

   Places(K) : FldNum -> PlcNum

   Places(p) : Pt -> SeqEnum

   WeierstrassPlaces(D) : DivCrvElt -> SeqEnum

   WeierstrassPlaces(D) : DivFunElt -> [PlcFunElt]

   WeierstrassPlaces(F) : FldFunG -> [PlcFunElt]

   WeierstrassPlaces(F) : FldFunG -> [PlcFunElt]




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