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Subindex: SolubilityCertificate  ..  Solution


SolubilityCertificate

   SolubilityCertificate(C) : CrvCon -> SeqEnum

Soluble

   ExtensionsOfSolubleGroup(H, G) : GrpPerm, GrpPerm -> SeqEnum
   IsSoluble(L) : AlgLie -> BoolElt
   IsSoluble(D, o, n) : DB, RngIntElt, RngIntElt -> Grp
   IsSoluble(G) : GrpAb -> BoolElt
   IsSoluble(A) : GrpAuto -> BoolElt
   IsSoluble(G) : GrpFin -> BoolElt
   IsSoluble(G) : GrpGPC -> BoolElt
   IsSoluble(G) : GrpMat -> BoolElt
   IsSoluble(G) : GrpPC -> BoolElt
   IsSoluble(G) : GrpPerm -> BoolElt
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt
   Radical(G) : GrpMat -> GrpMat
   Radical(G) : GrpPerm -> GrpPerm
   SolubleQuotient(G) : Grp -> GrpPC, Map
   SolubleQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolubleQuotientProcess(F : parameters): GrpFP -> SQProc
   SolubleRadical(L) : AlgLie -> AlgLie
   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> ]
   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

soluble

   Calculation of Standard Sections (FINITELY PRESENTED GROUPS: ADVANCED)
   Database of Irreducible Soluble Subgroups of GL(n,p) for n > 1 and p^n < 256 (OVERVIEW)
   Database of Soluble Groups (OVERVIEW)
   FINITE SOLUBLE GROUPS
   Initialisation (FINITELY PRESENTED GROUPS: ADVANCED)
   Miscellaneous Functions (FINITELY PRESENTED GROUPS: ADVANCED)
   Soluble Matrix Groups (MATRIX GROUPS)
   Soluble Quotient (FINITELY PRESENTED GROUPS)
   Soluble Quotient Process Tools (FINITELY PRESENTED GROUPS: ADVANCED)
   Soluble Quotient Processes (FINITELY PRESENTED GROUPS: ADVANCED)
   Soluble Quotients (FINITELY PRESENTED GROUPS: ADVANCED)
   The Soluble Radical and its Quotient (MATRIX GROUPS)
   The Soluble Radical and its Quotient (PERMUTATION GROUPS)

soluble-matrix-group

   Invariants(G) : GrpMat -> [ RngIntElt ]
   Soluble Matrix Groups (MATRIX GROUPS)

soluble-quotient

   Soluble Quotient (FINITELY PRESENTED GROUPS)

soluble-quotient-process

   Soluble Quotient Processes (FINITELY PRESENTED GROUPS: ADVANCED)

soluble-quotients

   Soluble Quotients (FINITELY PRESENTED GROUPS: ADVANCED)

soluble-radical

   The Soluble Radical and its Quotient (MATRIX GROUPS)
   The Soluble Radical and its Quotient (PERMUTATION GROUPS)

SolubleQuotient

   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
   GrpFP_2_SolubleQuotient (Example H27E13)

SolubleQuotient1

   GrpFP_1_SolubleQuotient1 (Example H26E29)

SolubleQuotient2

   GrpFP_1_SolubleQuotient2 (Example H26E30)

SolubleQuotientProcess

   SolubleQuotientProcess(F : parameters): GrpFP -> SQProc

SolubleRadical

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

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 H42E8)


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