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Subindex: Extended  ..  Extension


Extended

   ExtendedCohomologyClass(alpha) : OneCoC -> SetEnum[OneCoC]
   ExtendedGreatestCommonDivisor(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt, RngIntElt
   ExtendedGreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt, RngUPolElt, RngUPolElt
   ExtendedGreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt, RngValElt, RngValElt
   ExtendedGreatestCommonDivisor(s) : [RngIntElt] -> RngIntElt, [RngIntElt]
   ExtendedGreatestCommonLeftDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt
   ExtendedGreatestCommonRightDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt
   ExtendedLeastCommonLeftMultiple(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt
   ExtendedLeastCommonLeftMultiple(S) : [RngDiffOpElt] -> RngDiffOpElt, SeqEnum
   ExtendedOneCocycle(alpha) : OneCoC -> SetEnum[OneCoC]
   ExtendedPerfectCodeZ4(δ, m) : RngIntElt, RngIntElt -> CodeLinRng, Mtrx
   ExtendedType(x) : Elt -> ECat
   ExtendedUnitGroup(D) : NfdDck -> GrpMat

extended

   Examples (MODELS OF GENUS ONE CURVES)
   Extended Examples (ELLIPTIC CURVES OVER FUNCTION FIELDS)
   Extended Root Data (ROOT DATA)

extended-examples

   Examples (MODELS OF GENUS ONE CURVES)
   Extended Examples (ELLIPTIC CURVES OVER FUNCTION FIELDS)

extended-rootdtm

   Extended Root Data (ROOT DATA)

ExtendedCategory

   ExtendedCategory(x) : Elt -> ECat
   ExtendedType(x) : Elt -> ECat

ExtendedCohomologyClass

   ExtendedCohomologyClass(alpha) : OneCoC -> SetEnum[OneCoC]

ExtendedGreatestCommonDivisor

   Xgcd(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt, RngIntElt
   XGCD(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt, RngIntElt
   ExtendedGreatestCommonDivisor(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt, RngIntElt
   ExtendedGreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt, RngUPolElt, RngUPolElt
   ExtendedGreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt, RngValElt, RngValElt
   ExtendedGreatestCommonDivisor(s) : [RngIntElt] -> RngIntElt, [RngIntElt]

ExtendedGreatestCommonLeftDivisor

   ExtendedGreatestCommonLeftDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt

ExtendedGreatestCommonRightDivisor

   ExtendedGreatestCommonRightDivisor(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt

ExtendedLeastCommonLeftMultiple

   ExtendedLeastCommonLeftMultiple(A, B) : RngDiffOpElt, RngDiffOpElt -> RngDiffOpElt, RngDiffOpElt, RngDiffOpElt
   ExtendedLeastCommonLeftMultiple(S) : [RngDiffOpElt] -> RngDiffOpElt, SeqEnum

ExtendedOneCocycle

   ExtendedOneCocycle(alpha) : OneCoC -> SetEnum[OneCoC]

ExtendedPerfectCodeZ4

   ExtendedPerfectCodeZ4(δ, m) : RngIntElt, RngIntElt -> CodeLinRng, Mtrx

ExtendedType

   ExtendedCategory(x) : Elt -> ECat
   ExtendedType(x) : Elt -> ECat

ExtendedUnitGroup

   ExtendedUnitGroup(D) : NfdDck -> GrpMat

ExtendField

   ExtendField(C, L) : Code, FldFin -> Code, Map
   ExtendField(G, L) : GrpMat, FldFin -> GrpMat, Map
   ExtendField(V, L) : ModTupFld, Fld -> ModTupFld, MapHom

ExtendGaloisCocycle

   ExtendGaloisCocycle(c) : OneCoC -> OneCoC

ExtendGeodesic

   ExtendGeodesic([z1,z2], H) : [SpcHypElt], SpcHyp -> [SpcHypElt]

ExtendIsometry

   ExtendIsometry(V, U, f) : ModTupFld, ModTupFld, Map -> Map

Extends

   Extends(P, p) : PlcNumElt, PlcNumElt -> BoolElt
   Extends(P, p) : PlcNumElt, PlcNumElt -> BoolElt

Extension

   AbelianExtension(D, U) : DivFunElt, GrpAb -> FldFunAb
   AbelianExtension(K) : FldAlg -> FldAb
   AbelianExtension(I) : RngOrdIdl -> FldAb
   AbelianExtension(I, P) : RngOrdIdl, [RngIntElt] -> FldAb
   AbelianpExtension(m, p) : Map, RngIntElt -> FldAb
   AbsoluteTotallyRamifiedExtension(R) : RngPad -> RngPad, Map
   ArtinSchreierExtension(c,a,b) : FldFin, FldFin, FldFin -> FldFun
   AsExtensionOf(O1, O2) : RngFunOrd, RngFunOrd -> RngFunOrd
   AsExtensionOf(O, P) : RngOrd, RngOrd -> RngOrd
   AutomorphismGroupOverCyclotomicExtension(CN,N,n): Crv, RngIntElt, RngIntElt -> GrpAutCrv
   AutomorphismGroupOverExtension(CN,N,n,u): Crv, RngIntElt, RngIntElt, RngElt -> GrpAutCrv
   CentralExtension(G, U, A) : GrpPC, GrpPC, AlgMatElt -> GrpPC
   CentralExtensionProcess(G, U) : GrpPC, GrpPC -> Proc
   ConstantFieldExtension(F, E) : FldFun, Rng -> FldFun, Map
   ConstantFieldExtension(F, C) : RngDiff, Fld -> RngDiff, Map
   ConstantFieldExtension(R, C) : RngDiffOp,Fld -> RngDiffOp, Map
   CyclotomicUnramifiedExtension(R, f) : FldPad, RngIntElt -> FldPad
   DegreeOfFieldExtension(G) : GrpMat -> RngIntElt
   DifferentialFieldExtension(L) : RngDiffOpElt, -> RngDiff
   DifferentialRingExtension(L) : RngDiffOpElt -> RngDiff
   ExactExtension(C) : ModCpx -> ModCpx
   ExponentialFieldExtension(F, f) : RngDiff, RngDiffElt -> RngDiff
   Extension(G, H, f) : GrpPC, GrpPC, [Map] -> GrpPC
   Extension(G, H, f, t) : GrpPC, GrpPC, [Map], [GrpPCElt] -> GrpPC
   Extension(phi, I): Map, RngMPol -> RngMPol
   Extension(CM, s) : ModCoho, SeqEnum -> Grp, HomGrp, Map
   Extension(M, H) : ModGrp, GrpPC -> GrpPC
   Extension(M, H, t) : ModGrp, GrpPC, [ModGrpElt] -> GrpPC
   Extension(M, N, e) : ModGrp, ModGrp, ModTupFldElt -> ModGrp, ModMatGrpElt, ModMatGrpElt
   Extension(P, Q) : Process -> GrpFinFP
   Extension(P, Q) : Process -> GrpFP
   Extension(I, U) : RngMPol, [ RngIntElt ] -> RngMPol, Map
   ExtensionClasses(D, Q) : DB, MonStgElt -> SetEnum
   ExtensionExponents(D, Q, p) : DB, MonStgElt, RngIntElt -> SetEnum
   ExtensionField<F, x | P> : FldFin, ... -> FldFin, Map
   ExtensionNumbers(D, Q, p, r) : DB, MonStgElt, RngIntElt, RngIntElt -> SetEnum
   ExtensionPrimes(D, Q) : DB, MonStgElt -> SetEnum
   ExtensionProcess(G, M, F) : GrpPerm, ModRng, GrpFP -> GrpFPExtProc
   ExtensionProcess(G, M, F) : GrpPerm, ModRng, GrpFP -> Process
   HasPointsOverExtension(X) : Sch -> BoolElt
   HasSingularPointsOverExtension(C) : Sch -> BoolElt
   IsExtension(G, H, f) : GrpPC, GrpPC, [Map] -> BoolElt, GrpPC
   IsExtensionOf(G) : GrpPerm -> [],
   IsExtensionOf(L) : [GrpPerm] -> [], []
   LeftExactExtension(C) : ModCpx -> ModCpx
   LeftZeroExtension(C) : ModCpx -> ModCpx
   LogCanonicalThresholdOverExtension(C) : Sch -> FldRatElt
   LogarithmicFieldExtension(F, f) : RngDiff, RngDiffElt -> RngDiff
   MaximalExtension(M, N, E) : ModGrp, ModGrp, ModTupFld -> ModGrp
   NextExtension(~P) : Rec -> GrpPC
   PurelyRamifiedExtension(R,f) : RngDiffOp,RngUPolElt -> RngDiffOp, Map
   PurelyRamifiedExtension(f) : RngUPolElt[RngDiff] -> RngDiff, Map
   RadicalExtension(F, d, a) : Rng, RngIntElt, RngElt -> FldAlg
   RadicalExtension(F, d, a) : Rng, RngIntElt, RngElt -> FldNum
   RandomExtension(F, n) : FldFin, RngIntElt -> FldFin
   RationalExtensionRepresentation(F) : FldFunG -> FldFun
   RayClassField(m) : Map -> FldAb
   RightExactExtension(C) : ModCpx -> ModCpx
   RightZeroExtension(C) : ModCpx -> ModCpx
   SimpleExtension(F) : FldAlg -> FldAlg
   SimpleExtension(F) : FldNum -> FldNum
   SplitExtension(G, M, F) : GrpPerm, ModRng, GrpFP -> GrpFP
   SplitExtension(G, M, F) : GrpPerm, ModRng, GrpFP -> GrpFP
   SplitExtension(CM) : ModCoho -> Grp, HomGrp, Map
   TotallyRamifiedExtension(L, f) : RngPad, RngUPolElt -> RngPad
   TotallyRamifiedExtension(R, f) : RngSerPow[FldFin], RngUPolElt -> RngSerExt
   UnramifiedExtension(L, n) : RngPad, RngIntElt -> RngPad
   UnramifiedExtension(L, f) : RngPad, RngUPolElt -> RngPad
   UnramifiedExtension(R, f) : RngSerPow[FldFin], RngUPolElt -> RngSerExt
   VariableExtension(I, k, b) : RngMPol, RngIntElt, BoolElt -> RngMPol, Map
   WeilPolynomialOverFieldExtension(f, deg) : RngUPolElt, RngIntElt -> RngUPolElt
   ZeroExtension(C) : ModCpx -> ModCpx
   AlgAff_Extension (Example H108E8)

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Version: V2.19 of Mon Dec 17 14:40:36 EST 2012