Documentation

small
- Access functions (GRAPHS)
- Concrete Representations (FINITELY PRESENTED GROUPS)
- Creation of Small Graph Databases (GRAPHS)
- Recognition Of Classical Groups in Low Degree (ALMOST SIMPLE GROUPS)
- Small Cancellation Conditions (FINITELY PRESENTED GROUPS)
- Small Graphs (GRAPHS)
- SMALL MODULAR CURVES
- Subgroups of Small Rank (REPRESENTATIONS OF LIE GROUPS AND ALGEBRAS)
small-bimodule
- ModAlg_small-bimodule (Example H97E34)
small-cancellation
- Small Cancellation Conditions (FINITELY PRESENTED GROUPS)
small-modular-curves
- SMALL MODULAR CURVES
small_cancel
- GrpFP_small_cancel (Example H78E21)
small_ree
- Constructive Recognition of Small Ree Groups (ALMOST SIMPLE GROUPS)
- Small Ree Groups (ALMOST SIMPLE GROUPS)
SmallBasis
- SmallBasis(I) : RngMPol -> [ RngMPolElt ]
SmallCancellationConditions
- SmallCancellationConditions(G) : GrpFP -> RngIntElt, RnIntElt,FldRatElt)
SmallDegreeImage
- SmallDegreeImage(G, h) : GrpMat, GrpMatElt -> GrpMatElt
SmallDegreePreimage
- SmallDegreePreimage(G, g) : GrpMat, GrpMatElt -> GrpMatElt
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 H72E1)
SmallIdentify
- GrpData_SmallIdentify (Example H72E3)
SmallInternal
- GrpData_SmallInternal (Example H72E5)
SmallModularCurve
- SmallModularCurve(N) : RngIntElt -> Crv
SmallPeriodMatrix
- SmallPeriodMatrix(A) : AnHcJac -> AlgMatElt
- SmallPeriodMatrix(X) : RieSrf -> Mtrx
smallree
- Introduction (ALMOST SIMPLE GROUPS)
smallree-intro
- Introduction (ALMOST SIMPLE GROUPS)
SmallRoots
- SmallRoots(p, N, X) : RngUPolElt, RngElt, RngElt -> [RngElt]
SmallRootsUsage
- RngPol_SmallRootsUsage (Example H24E5)
smat
- SPARSE MATRICES
SMaximal
- SMaximalOrder(u, S) : RngWittElt, [PlcFunElt] -> RngFunOrd
SMaximalOrder
- SMaximalOrder(u, S) : RngWittElt, [PlcFunElt] -> RngFunOrd
Smith
- SmithForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, AlgMatElt
- SmithForm(A) : ModMatRngElt -> ModMatRngElt, ModMatRngElt, ModMatRngElt
- SmithForm (M) : SpMat -> SpMat, SpMat, SpMat
SmithForm
- SmithForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, AlgMatElt
- SmithForm(A) : ModMatRngElt -> ModMatRngElt, ModMatRngElt, ModMatRngElt
- SmithForm (M) : SpMat -> SpMat, SpMat, SpMat
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

V2.28, 13 July 2023

Magma is maintained and distributed by the Computational Algebra Group, School of Mathematics and Statistics, University of Sydney.