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Subindex: ExternalLines  ..  ExtremalRays


ExternalLines

   AllPassants(P, A) : Plane, { PlanePt } -> { PlaneLn }
   ExternalLines(P, A) : Plane, { PlanePt } -> { PlaneLn }

ExtGenerators

   ExtGenerators(G, U) : GrpPC, GrpPC -> [<AlgMatElt, RngIntElt>]

Extra

   ExtraAutomorphism(CN,N,u): Crv, RngIntElt, RngElt -> MapAutSch
   ExtraSpecialAction(G, g) : GrpMat, GrpMatElt -> GrpMatElt
   ExtraSpecialBasis(G) : GrpMat -> GrpMatElt
   ExtraSpecialGroup(G) : GrpMat -> GrpMat
   ExtraSpecialGroup(C, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpFin
   ExtraSpecialGroup(GrpFP, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpFP
   ExtraSpecialGroup(GrpGPC, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpGPC
   ExtraSpecialGroup(GrpPC, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpPC
   ExtraSpecialGroup(GrpPerm, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpPerm
   ExtraSpecialNormaliser(G) : GrpMat -> SeqEnum
   ExtraSpecialParameters(G) : GrpMat -> [RngIntElt, RngIntElt]
   IsExtraSpecial(G) : GrpFin -> BoolElt
   IsExtraSpecial(G) : GrpMat -> BoolElt
   IsExtraSpecial(G) : GrpPC -> BoolElt
   IsExtraSpecial(G) : GrpPerm -> BoolElt
   IsExtraSpecialNormaliser(G) : GrpMat -> BoolElt

extra

   Addition of Extra Generators (GROUPS OF STRAIGHT-LINE PROGRAMS)

extra-generators

   Addition of Extra Generators (GROUPS OF STRAIGHT-LINE PROGRAMS)

ExtraAutomorphism

   ExtraAutomorphism(CN,N,u): Crv, RngIntElt, RngElt -> MapAutSch

Extract

   ExtractGenerators(P) : GrpFPLixProc -> { GrpFPElt }
   ExtractGroup(P) : GrpFPLixProc -> GrpFP
   ExtractGroup(P) : GrpPCpQuotientProc -> GrpPC
   ExtractRep(~R, ~r) : SetEnum, Elt ->
   Submatrix(A, i, j, p, q) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   Submatrix(a, i, j, p, q) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   Submatrix(A, i, j, p, q) : MtrxSprs, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> MtrxSprs
   SubmatrixRange(A, i, j, r, s) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   SubmatrixRange(A, i, j, r, s) : MtrxSprs, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> MtrxSprs

ExtractBlock

   ExtractBlock(A, i, j, p, q) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   Submatrix(A, i, j, p, q) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   Submatrix(a, i, j, p, q) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   Submatrix(A, i, j, p, q) : MtrxSprs, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> MtrxSprs

ExtractBlockRange

   ExtractBlockRange(A, i, j, r, s) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   SubmatrixRange(A, i, j, r, s) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx
   SubmatrixRange(A, i, j, r, s) : MtrxSprs, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> MtrxSprs

ExtractGenerators

   ExtractGenerators(P) : GrpFPLixProc -> { GrpFPElt }

ExtractGroup

   ExtractGroup(P) : GrpFPLixProc -> GrpFP
   ExtractGroup(P) : GrpPCpQuotientProc -> GrpPC

ExtractRep

   ExtractRep(~R, ~r) : SetEnum, Elt ->
   Set_ExtractRep (Example H9E9)

extradical

   FldForms_extradical (Example H29E6)

Extraspecial

   ExtraspecialPair(R,r) : RootDtm, RngIntElt -> SeqEnum
   ExtraspecialPairs(R) : RootDtm -> SeqEnum
   ExtraspecialSigns(R) : RootDtm -> []
   NumExtraspecialPairs(R) : RootDtm -> SeqEnum

extraspecial

   Normalisers of Extraspecial r-groups and Symplectic 2-groups (MATRIX GROUPS OVER FINITE FIELDS)

ExtraSpecialAction

   ExtraSpecialAction(G, g) : GrpMat, GrpMatElt -> GrpMatElt

ExtraSpecialBasis

   ExtraSpecialBasis(G) : GrpMat -> GrpMatElt

ExtraSpecialGroup

   ExtraSpecialGroup(G) : GrpMat -> GrpMat
   ExtraSpecialGroup(C, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpFin
   ExtraSpecialGroup(GrpFP, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpFP
   ExtraSpecialGroup(GrpGPC, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpGPC
   ExtraSpecialGroup(GrpPC, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpPC
   ExtraSpecialGroup(GrpPerm, p, n : parameters) : Cat, RngIntElt, RngIntElt -> GrpPerm

ExtraSpecialNormaliser

   ExtraSpecialNormaliser(G) : GrpMat -> SeqEnum
   GrpMatFF_ExtraSpecialNormaliser (Example H60E6)

ExtraspecialPair

   ExtraspecialPair(R,r) : RootDtm, RngIntElt -> SeqEnum

ExtraspecialPairs

   ExtraspecialPairs(R) : RootDtm -> SeqEnum

ExtraSpecialParameters

   ExtraSpecialParameters(G) : GrpMat -> [RngIntElt, RngIntElt]

ExtraspecialSigns

   ExtraspecialSigns(R) : RootDtm -> []

Extremal

   ExtremalLieAlgebra(K, G) : Rng, GrphUnd -> AlgLieExtr
   ExtremalLieAlgebra(K, n) : Rng, RngIntElt -> AlgLieExtr
   ExtremalRayContraction(X,i) : TorVar,RngIntElt -> TorVar,TorMap
   ExtremalRayContractionDivisor(X,i) : TorVar,RngIntElt -> DivTorElt
   ExtremalRays(X) : TorVar -> SeqEnum

ExtremalLieAlgebra

   ExtremalLieAlgebra(K, G) : Rng, GrphUnd -> AlgLieExtr
   ExtremalLieAlgebra(K, n) : Rng, RngIntElt -> AlgLieExtr

ExtremalRayContraction

   ExtremalRayContraction(X,i) : TorVar,RngIntElt -> TorVar,TorMap

ExtremalRayContractionDivisor

   ExtremalRayContractionDivisor(X,i) : TorVar,RngIntElt -> DivTorElt

ExtremalRayContractions

   ExtremalRayContractions(X) : TorVar,RngIntElt -> SeqEnum
   ExtremalRays(X) : TorVar -> SeqEnum

ExtremalRays

   ExtremalRayContractions(X) : TorVar,RngIntElt -> SeqEnum
   ExtremalRays(X) : TorVar -> SeqEnum

[____] [____] [_____] [____] [__] [Index] [Root]

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