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Subindex: Smaller  ..  solubility


Smaller

   IsOverSmallerField(G) : GrpMat -> BoolElt, GrpMat
   IsOverSmallerField(G, d) : GrpMat, RngIntElt -> BoolElt, GrpMat
   IsRealisableOverSmallerField(M) : ModGrp -> BoolElt, ModGrp
   ModuleOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp
   ModulesOverSmallerField(Q, F) : SeqEnum, FldFin -> ModGrp
   WriteOverSmallerField(G, F) : GrpMat, FldFin -> GrpMat, Map
   WriteOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp, Map

smaller

   Comparison (OVERVIEW)

SmallGroup

   SmallGroup(o: parameters) : RngIntElt -> Grp
   SmallGroup(o, f: parameters) : RngIntElt, Program -> Grp
   SmallGroup(o, f: parameters) : RngIntElt, Program -> Grp
   SmallGroup(o, n) : RngIntElt, RngIntElt -> Grp

SmallGroupDatabase

   OpenSmallGroupDatabase() : -> DB
   SmallGroupDatabase() : -> DB

SmallGroupDatabaseLimit

   SmallGroupDatabaseLimit() : -> RngIntElt

SmallGroupDecoding

   SmallGroupDecoding(c, o) : RngIntElt, RngIntElt -> GrpPC

SmallGroupEncoding

   SmallGroupEncoding(G) : GrpPC -> RngIntElt, RngIntElt

SmallGroupIsInsoluble

   SmallGroupIsInsolvable(o, n) : RngIntElt, RngIntElt -> Grp
   SmallGroupIsInsoluble(o, n) : RngIntElt, RngIntElt -> Grp

SmallGroupIsInsolvable

   SmallGroupIsInsolvable(o, n) : RngIntElt, RngIntElt -> Grp
   SmallGroupIsInsoluble(o, n) : RngIntElt, RngIntElt -> Grp

SmallGroupIsSoluble

   IsSolvable(D, o, n) : DB, RngIntElt, RngIntElt -> Grp
   SmallGroupIsSoluble(o, n) : RngIntElt, RngIntElt -> Grp
   SmallGroupIsSolvable(o, n) : RngIntElt, RngIntElt -> Grp
   IsSoluble(D, o, n) : DB, RngIntElt, RngIntElt -> Grp

SmallGroupIsSolvable

   IsSolvable(D, o, n) : DB, RngIntElt, RngIntElt -> Grp
   SmallGroupIsSoluble(o, n) : RngIntElt, RngIntElt -> Grp
   SmallGroupIsSolvable(o, n) : RngIntElt, RngIntElt -> Grp
   IsSoluble(D, o, n) : DB, RngIntElt, RngIntElt -> Grp

SmallGroupProcess

   SmallGroupProcess(o: parameters) : RngIntElt -> Process
   SmallGroupProcess(o, f: parameters) : RngIntElt, Program -> Process
   SmallGroupProcess(S: parameters) : [RngIntElt] -> Process
   SmallGroupProcess(S, f: parameters) : [RngIntElt], Program -> Process

SmallGroups

   SmallGroups(o: parameters) : RngIntElt -> [* Grp *]
   SmallGroups(o, f: parameters) : RngIntElt, Program -> [* Grp *]
   SmallGroups(S: parameters) : [RngIntElt] -> [* Grp *]
   SmallGroups(S, f: parameters) : [RngIntElt], Program -> [* Grp *]
   GrpData_SmallGroups (Example H24E1)

SmallIdentify

   GrpData_SmallIdentify (Example H24E3)

SmallInternal

   GrpData_SmallInternal (Example H24E4)

smat

   SPARSE MATRICES

Smith

   SmithForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, AlgMatElt
   SmithForm(A) : ModMatRngElt -> ModMatRngElt, ModMatRngElt, ModMatRngElt

SmithForm

   SmithForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, AlgMatElt
   SmithForm(A) : ModMatRngElt -> ModMatRngElt, ModMatRngElt, ModMatRngElt

smlgps

   Database of Small Groups (DATABASES OF GROUPS)

smlgps-database

   Database of Small Groups (DATABASES OF GROUPS)

Smooth

   NumberOfSmoothDivisors(n, m, P) : RngIntElt, RngIntElt, SeqEnum[RngElt] -> RngElt

SO

   SO(arguments)
   SpecialOrthogonalGroup(arguments)

Socle

   Socle(G) : GrpPerm -> GrpPerm
   Socle(M) : ModAlg -> ModAlg
   Socle(M) : ModRng -> ModRng
   SocleAction(G) : GrpPerm -> Hom, GrpPerm, GrpPerm
   SocleFactor(G) : GrpPerm -> GrpPerm
   SocleFactors(G) : GrpPerm -> [ GrpPerm ]
   SocleFactors(M) : ModRng -> [ ModRng ]
   SocleImage(G) : GrpPerm -> GrpPerm
   SocleKernel(G) : GrpPerm -> GrpPerm
   SocleQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
   SocleSeries(G) : GrpPerm -> [ GrpPerm ]
   SocleSeries(M) : ModRng -> [ ModRng ], [ ModRng ], AlgMatElt

socle

   Socle Series (MODULES OVER A MATRIX ALGEBRA)
   The Socle (PERMUTATION GROUPS)

SocleAction

   SocleAction(G) : GrpPerm -> Hom, GrpPerm, GrpPerm

SocleFactor

   SocleFactor(G) : GrpPerm -> GrpPerm

SocleFactors

   SocleFactors(G) : GrpPerm -> [ GrpPerm ]
   SocleFactors(M) : ModRng -> [ ModRng ]

SocleImage

   SocleImage(G) : GrpPerm -> GrpPerm

SocleKernel

   SocleKernel(G) : GrpPerm -> GrpPerm

SocleQuotient

   SocleQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm

SocleSeries

   SocleSeries(G) : GrpPerm -> [ GrpPerm ]
   SocleSeries(M) : ModRng -> [ ModRng ], [ ModRng ], AlgMatElt

sol

   The Schur Algorithm for Soluble Groups (K[G]-MODULES AND GROUP REPRESENTATIONS)

solgps

   Database of Soluble Groups (OVERVIEW)

Solomon

   InverseMattsonSolomonTransform(A, n) : RngUPolElt, RngIntElt -> RngUPolElt
   MattsonSolomonTransform(f, n) : RngUPolElt, RngIntElt -> RngUPolElt
   ReedSolomonCode(K, d, b) : FldFin, RngIntElt, RngIntElt -> Code
   ReedSolomonCode(n, d) : RngIntElt, RngIntElt -> Code

solomon

   Mattson--Solomon Transforms (LINEAR CODES OVER FINITE FIELDS)
   Reed--Solomon and Justesen Codes (LINEAR CODES OVER FINITE FIELDS)

Solubility

   HasSolubilityCertificate(C) : CrvCon -> BoolElt, SeqEnum
   HasSolubilityCertificate(S) : SeqEnum[RngIntElt] -> BoolElt, SeqEnum
   SolubilityCertificate(C) : CrvCon -> SeqEnum

solubility

   Solubility Certificates (RATIONAL CURVES AND CONICS)


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