Subindex: <B><B>G</B> .. Gamma</B>

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Subindex: G .. Gamma

G

   G-Sets (PERMUTATION GROUPS)
   Lattices from Matrix Groups (LATTICES)
   Modules (OVERVIEW)
   Order(G) : GrpLie -> RngIntElt

G-lattices

Lattices from Matrix Groups (LATTICES)

G-module

Modules (OVERVIEW)

G-sets

G-Sets (PERMUTATION GROUPS)

G23

GrpFP_1_G23 (Example H30E60)

G2RootSystem

RootDtm_G2RootSystem (Example H85E3)
RootSys_G2RootSystem (Example H84E4)

G4

   QuarticG4Covariant(q) : RngUPolElt -> RngUPolElt
   QuarticHSeminvariant(q) : RngUPolElt -> RngIntElt
   QuarticPSeminvariant(q) : RngUPolElt -> RngIntElt
   QuarticQSeminvariant(q) : RngUPolElt -> RngIntElt
   QuarticRSeminvariant(q) : RngUPolElt -> RngIntElt

QuarticIInvariant(q) : RngUPolElt -> RngIntElt

Gabidulin

GabidulinCode(A, W, Z, t) : [ FldFinElt ], [ FldFinElt ], [ FldFinElt ], RngIntElt -> Code

GabidulinCode

GabidulinCode(A, W, Z, t) : [ FldFinElt ], [ FldFinElt ], [ FldFinElt ], RngIntElt -> Code

gal-desc

RngLoc_gal-desc (Example H59E9)

GalCohom

GrpLie_GalCohom (Example H89E16)

Gallager

GallagerCode(n, a, b) : RngIntElt, RngIntElt, RngIntElt -> Code

GallagerCode

GallagerCode(n, a, b) : RngIntElt, RngIntElt, RngIntElt -> Code

Galois

   FINITE FIELDS
   Rings, Fields, and Algebras (OVERVIEW)
   AbsoluteGaloisGroup(A) : FldAb -> GrpPerm, SeqEnum, GaloisData
   ExtendGaloisCocycle(c) : OneCoC -> OneCoC
   FiniteField(q) : RngIntElt -> FldFin
   FiniteField(p, n) : RngIntElt, RngIntElt -> FldFin
   GaloisCohomology(A) : GGrp -> SeqEnum
   GaloisConjugate(x, j) : AlgChtrElt, RngIntElt -> AlgChtrElt
   GaloisGroup(L) : FldAlg[FldAlg] -> GrpPerm, [ FldPrElt ], Any
   GaloisGroup(K) : FldAlg[FldRat] -> GrpPerm, SeqEnum, GaloisData
   GaloisGroup(K, k) : FldFin, FldFin -> GrpPerm, [FldFinElt]
   GaloisGroup(f) : RngUPolElt -> GrpPerm, [ FldPrElt ], Any
   GaloisGroup(f) : RngUPolElt[RngIntElt] -> GrpPerm, SeqEnum, GaloisData
   GaloisImage(x, i) : RngPadElt, RngIntElt -> RngPadElt
   GaloisOrbit(x) : AlgChtrElt -> { AlgChtrElt }
   GaloisProof(f, S) : RngUPolElt, GaloisData -> BoolElt
   GaloisQuotient(K, Q) : FldNum, GrpPerm -> SeqEnum[FldNum]
   GaloisRing(q, d) : RngIntElt, RngIntElt -> RngGal
   GaloisRing(p, a, d) : RngIntElt, RngIntElt, RngIntElt -> RngGal
   GaloisRing(p, a, D) : RngIntElt, RngIntElt, RngUPol -> RngGal
   GaloisRing(q, D) : RngIntElt, RngUPol -> RngGal
   GaloisRoot(i, S) : RngIntElt, GaloisData -> RngElt
   GaloisRoot(f, i, S) : RngUPolElt, RngIntElt, GaloisData -> RngElt
   GaloisSubgroup(K, U) : FldNum, GrpPerm -> FldNum, UserProgram

galois

   Database of Galois Group Polynomials (OVERVIEW)
   Galois Cohomology (GROUPS OF LIE TYPE)
   Galois Groups (ALGEBRAIC FUNCTION FIELDS)
   Galois Groups (ORDERS AND ALGEBRAIC FIELDS)
   Galois Module Structure (CLASS FIELD THEORY)
   GALOIS RINGS

galois-cohomology

Galois Cohomology (GROUPS OF LIE TYPE)

galois-module-structure

Galois Module Structure (CLASS FIELD THEORY)

galois-ring

GaloisCohomology

GaloisCohomology(A) : GGrp -> SeqEnum

GaloisConjugate

GaloisConjugate(x, j) : AlgChtrElt, RngIntElt -> AlgChtrElt

GaloisField

   GaloisField(q) : RngIntElt -> FldFin
   GF(q) : RngIntElt -> FldFin
   FiniteField(q) : RngIntElt -> FldFin
   FiniteField(p, n) : RngIntElt, RngIntElt -> FldFin

GaloisGroup

   GaloisGroup(L) : FldAlg[FldAlg] -> GrpPerm, [ FldPrElt ], Any
   GaloisGroup(K) : FldAlg[FldRat] -> GrpPerm, SeqEnum, GaloisData
   GaloisGroup(K, k) : FldFin, FldFin -> GrpPerm, [FldFinElt]
   GaloisGroup(f) : RngUPolElt -> GrpPerm, [ FldPrElt ], Any
   GaloisGroup(f) : RngUPolElt[RngIntElt] -> GrpPerm, SeqEnum, GaloisData

GaloisGroups

FldFunG_GaloisGroups (Example H55E13)
RngOrd_GaloisGroups (Example H48E24)

GaloisGroups2

FldFunG_GaloisGroups2 (Example H55E14)

GaloisImage

GaloisImage(x, i) : RngPadElt, RngIntElt -> RngPadElt

GaloisOrbit

GaloisOrbit(x) : AlgChtrElt -> { AlgChtrElt }

GaloisProof

GaloisProof(f, S) : RngUPolElt, GaloisData -> BoolElt

GaloisQuotient

GaloisQuotient(K, Q) : FldNum, GrpPerm -> SeqEnum[FldNum]

GaloisRing

   GR(q, d) : RngIntElt, RngIntElt -> RngGal
   GaloisRing(q, d) : RngIntElt, RngIntElt -> RngGal
   GaloisRing(p, a, d) : RngIntElt, RngIntElt, RngIntElt -> RngGal
   GaloisRing(p, a, D) : RngIntElt, RngIntElt, RngUPol -> RngGal
   GaloisRing(q, D) : RngIntElt, RngUPol -> RngGal

GaloisRoot

GaloisRoot(i, S) : RngIntElt, GaloisData -> RngElt
GaloisRoot(f, i, S) : RngUPolElt, RngIntElt, GaloisData -> RngElt

GaloisSubgroup

GaloisSubgroup(K, U) : FldNum, GrpPerm -> FldNum, UserProgram

galpols

Database of Galois Group Polynomials (OVERVIEW)

Gamma

   AGammaL(arguments)
   AffineGammaLinearGroup(arguments)
   EulerGamma(R) : FldRe -> FldReElt
   Gamma(r) : FldReElt -> FldReElt
   Gamma(r, s) : FldReElt, FldReElt -> FldReElt
   Gamma(f) : RngSerElt -> RngSerElt
   GammaAction(A) : GGrp -> Map[Grp, GrpAuto]
   GammaAction(R) : RootDtm -> Rec
   GammaActionPi(R) : RootDtm -> HomGrp
   GammaD(s) : FldReElt -> FldReElt
   GammaGroup(k, G) : Fld, GrpLie -> GGrp
   GammaGroup(k, A) : Fld, GrpLieAuto -> GGrp
   GammaGroup(Gamma, A, action) : Grp, Grp, Map[Grp, GrpAuto] -> GGrp
   GammaGroup(alpha) : OneCoC -> GGrp
   GammaOrbitOnRoots(R,r) : RootDtm, RngIntElt -> GSetEnum
   GammaOrbitsOnRoots(R) : RootDtm -> SeqEnum[GSetEnum]
   GammaOrbitsRepresentatives(R, delta) : RootDtm, RngIntElt -> SeqEnum
   GammaUpper0(N) : RngIntElt -> GrpPSL2
   GammaUpper1(N) : RngIntElt -> GrpPSL2
   InducedGammaGroup(A, B) : GGrp, Grp -> GGrp
   LogGamma(r) : FldReElt -> FldReElt
   LogGamma(f) : RngSerElt -> RngSerElt
   ProjectiveGammaLinearGroup(arguments)
   ProjectiveGammaUnitaryGroup(arguments)

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