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Subindex: small-modular-curves  ..  Socle


small-modular-curves

   SMALL MODULAR CURVES

small_ree

   Constructive Recognition of Small Ree Groups (ALMOST SIMPLE GROUPS)
   Small Ree Groups (ALMOST SIMPLE GROUPS)

SmallBasis

   SmallBasis(I) : RngMPol -> [ RngMPolElt ]

Smaller

   IsOverSmallerField(G : parameters) : GrpMat -> BoolElt, GrpMat
   IsOverSmallerField(G, k : parameters) : GrpMat -> BoolElt, GrpMat
   IsRealisableOverSmallerField(M) : ModGrp -> BoolElt, ModGrp
   ModuleOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp
   ModulesOverSmallerField(Q, F) : SeqEnum, FldFin -> ModGrp
   SmallerField(G) : GrpMat -> FLdFin
   SmallerFieldBasis(G) : GrpMat -> GrpMatElt
   SmallerFieldImage(G, g) : GrpMat, GrpMatElt -> GrpMatElt
   WriteOverSmallerField(G, F) : GrpMat, FldFin -> GrpMat, Map
   WriteOverSmallerField(M, F) : ModGrp, FldFin -> ModGrp, Map

SmallerField

   SmallerField(G) : GrpMat -> FLdFin

SmallerFieldBasis

   SmallerFieldBasis(G) : GrpMat -> GrpMatElt

SmallerFieldImage

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

SmallGraphDatabase

   SmallGraphDatabase(n : parameters) : RngIntElt -> DB

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 H66E1)

SmallIdentify

   GrpData_SmallIdentify (Example H66E3)

SmallInternal

   GrpData_SmallInternal (Example H66E4)

SmallModularCurve

   SmallModularCurve(N) : RngIntElt -> Crv

SmallPeriodMatrix

   SmallPeriodMatrix(A) : AnHcJac -> AlgMatElt

smallree

   Introduction (ALMOST SIMPLE GROUPS)

smallree-intro

   Introduction (ALMOST SIMPLE GROUPS)

SmallRoots

   SmallRoots(p, N, X) : RngUPolElt, RngElt, RngElt -> [RngElt]

SmallRootsUsage

   RngPol_SmallRootsUsage (Example H23E5)

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

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

sngs

   Analytically Hypersurface Singularities (SCHEMES)

SO

   SO(n, q) : RngIntElt, RngIntElt -> GrpMat
   SpecialOrthogonalGroup(n, q) : RngIntElt, RngIntElt -> GrpMat

Socket

   IsServerSocket(S) : IO -> BoolElt
   Socket( : parameters) : -> IOSocket
   Socket(H, P : parameters) : MonStgElt, RngIntElt -> IOSocket
   SocketInformation(S) : IO -> Tup, Tup

SocketInformation

   SocketInformation(S) : IO -> Tup, Tup

Sockets

   IO_Sockets (Example H3E12)

sockets

   Socket Creation (INPUT AND OUTPUT)
   Socket I/O (INPUT AND OUTPUT)
   Socket Predicates (INPUT AND OUTPUT)
   Socket Properties (INPUT AND OUTPUT)
   Sockets (INPUT AND OUTPUT)

sockets-creation

   Socket Creation (INPUT AND OUTPUT)

sockets-io

   Socket I/O (INPUT AND OUTPUT)

sockets-predicates

   Socket Predicates (INPUT AND OUTPUT)

sockets-properties

   Socket Properties (INPUT AND OUTPUT)

Socle

   IsomorphismTypesOfSocleLayers(M) : ModAlgBas -> SeqEnum
   Socle(G) : GrpPC -> GrpPC
   Socle(G) : GrpPerm -> GrpPerm
   Socle(M) : ModAlg -> ModAlg
   Socle(M) : ModRng -> ModRng, Map
   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

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