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Subindex: SolubleQuotient1  ..  SolvableQuotient


SolubleQuotient1

   GrpFP_1_SolubleQuotient1 (Example H70E39)

SolubleQuotient2

   GrpFP_1_SolubleQuotient2 (Example H70E40)

SolubleRadical

   SolubleRadical(G) : GrpMat -> GrpMat
   SolvableRadical(G) : GrpMat -> GrpMat
   Radical(G) : GrpMat -> GrpMat
   Radical(G) : GrpPerm -> GrpPerm
   SolubleRadical(L) : AlgLie -> AlgLie
   SolubleRadical(G) : GrpLie -> GrpLie

SolubleResidual

   SolvableResidual(G) : GrpFin -> GrpFin
   SolubleResidual(G) : GrpFin -> GrpFin
   SolubleResidual(G) : GrpMat -> GrpMat
   SolubleResidual(G) : GrpPerm -> GrpPerm

SolubleSchreier

   SolvableSchreier(G: parameters) : GrpPerm : ->
   SolubleSchreier(G: parameters) : GrpPerm : ->

SolubleSubgroups

   SolvableSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
   SolubleSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]

Solution

   IntegerSolutionVariables(L) : LP -> SeqEnum
   MaximalIntegerSolution(LHS, relations, RHS, objective) : Mtrx, Mtrx, Mtrx, Mtrx -> Mtrx, RngIntElt
   MaximalSolution(LHS, relations, RHS, objective) : Mtrx, Mtrx, Mtrx, Mtrx -> Mtrx, RngIntElt
   MaximalZeroOneSolution(LHS, relations, RHS, objective) : Mtrx, Mtrx, Mtrx, Mtrx -> Mtrx, RngIntElt
   MinimalIntegerSolution(LHS, relations, RHS, objective) : Mtrx, Mtrx, Mtrx, Mtrx -> Mtrx, RngIntElt
   MinimalSolution(LHS, relations, RHS, objective) : Mtrx, Mtrx, Mtrx, Mtrx -> Mtrx, RngIntElt
   MinimalZeroOneSolution(LHS, relations, RHS, objective) : Mtrx, Mtrx, Mtrx, Mtrx -> Mtrx, RngIntElt
   ModularSolution(A, M) : MtrxSprs, RngIntElt -> ModTupRng
   SetIntegerSolutionVariables(L, I, m) : LP, SeqEnum[RngIntElt], BoolElt ->
   Solution(L) : LP -> Mtrx, RngIntElt
   Solution(A, W) : ModMatRngElt, ModTupRng -> ModTupRngElt, ModTupRng
   Solution(A, w) : ModMatRngElt, ModTupRng -> ModTupRngElt, ModTupRng
   Solution(A, Q) : ModMatRngElt, [ ModTupRng ] -> [ ModTupRngElt ], ModTupRng
   Solution(A, W) : ModMatRngElt, [ ModTupRng ] -> [ ModTupRngElt ], ModTupRng
   Solution(a, b, m) : RngIntElt, RngIntElt, RngIntElt -> RngIntElt, RngIntElt
   Solution(a, b) : RngIntResElt, RngIntResElt -> RngIntResElt
   Solution(A, B, N) : [RngIntElt], [RngIntElt],[RngIntElt] -> RngIntElt
   Mat_Solution (Example H26E8)

solution

   Linear Systems (Structured Gaussian Elimination) (SPARSE MATRICES)
   Nullspace and Rowspace (SPARSE MATRICES)
   Nullspaces and Solutions of Systems (MATRICES)
   Solutions of Systems of Linear Equations (MATRIX ALGEBRAS)

solution-equation

   Nullspace and Rowspace (SPARSE MATRICES)
   Nullspaces and Solutions of Systems (MATRICES)
   Solutions of Systems of Linear Equations (MATRIX ALGEBRAS)

Solutions

   HasRationalSolutions(L, g) : RngDiffOpElt, RngElt -> BoolElt, RngElt, SeqEnum
   RationalSolutions(L) : RngDiffOpElt, -> SeqEnum
   Solutions(t, a) : Thue, RngIntElt -> [ [ RngIntElt, RngIntElt ] ]

Solvable

   AllSolvableLieAlgebras(F, d) : Fld, RngIntElt -> SeqEnum
   IsLocallySolvable(X, p) : Sch, RngOrdIdl -> BoolElt, Pt
   IsSoluble(L) : AlgLie -> BoolElt
   IsSoluble(D, o, n) : DB, RngIntElt, RngIntElt -> Grp
   IsSoluble(A) : GrpAuto -> BoolElt
   IsSoluble(G) : GrpFin -> BoolElt
   IsSoluble(G) : GrpGPC -> BoolElt
   IsSoluble(G) : GrpMat -> BoolElt
   IsSoluble(G) : GrpPC -> BoolElt
   IsSoluble(G) : GrpPerm -> BoolElt
   IsSolubleAutomorphismGroupPGroup(A) : GrpAuto -> BoolElt
   LMGIsSoluble(G) : GrpMat -> BoolElt
   Radical(G) : GrpMat -> GrpMat
   Radical(G) : GrpPerm -> GrpPerm
   SolubleQuotient(G) : Grp -> GrpPC, Map
   SolubleQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolubleRadical(L) : AlgLie -> AlgLie
   SolubleResidual(G) : GrpFin -> GrpFin
   SolubleResidual(G) : GrpMat -> GrpMat
   SolubleResidual(G) : GrpPerm -> GrpPerm
   SolubleSchreier(G: parameters) : GrpPerm : ->
   SolubleSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
   SolvableLieAlgebra( F, n, k : parameters) : Fld, RngIntElt, RngIntElt -> AlgLie
   SolvableQuotient(G): GrpMat -> GrpPC, Map
   SolvableQuotient(G): GrpPerm, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(G : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableSubgroups(G: parameters) : GrpPerm -> [ rec< GrpPerm, RngIntElt, RngIntElt, GrpFP> ]

solvable

   Solvable and Nilpotent Lie Algebras Classification (LIE ALGEBRAS)

solvable-nilpotent

   Solvable and Nilpotent Lie Algebras Classification (LIE ALGEBRAS)

SolvableLieAlgebra

   SolvableLieAlgebra( F, n, k : parameters) : Fld, RngIntElt, RngIntElt -> AlgLie

SolvableQuotient

   SolvableQuotient(G) : Grp -> GrpPC, Map
   SolubleQuotient(G) : Grp -> GrpPC, Map
   SolubleQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(G): GrpMat -> GrpPC, Map
   SolvableQuotient(G): GrpPerm, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(G : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013