Documentation

simple
- ALMOST SIMPLE GROUPS
- Automatic Simplification (FINITELY PRESENTED GROUPS)
- Computing Minimal Simple Elements (BRAID GROUPS)
- Interactive Simplification (FINITELY PRESENTED GROUPS)
- Other Elementary Functions (RING OF INTEGERS)
- Recognition of Simple *-Algebras (ALGEBRAS WITH INVOLUTION)
- Simple *-Algebras (ALGEBRAS WITH INVOLUTION)
- Simple and Positive Roots (ROOT DATA)
- Simple and Positive Roots (ROOT SYSTEMS)
- Simple Assignment (STATEMENTS AND EXPRESSIONS)
- Simple Element Functions (REAL AND COMPLEX FIELDS)
- Simple Ideal Constructions (POLYNOMIAL RING IDEAL OPERATIONS)
- Simple Linear Codes (LINEAR CODES OVER FINITE RINGS)
- Some Trivial Additive Codes (ADDITIVE CODES)
- Some Trivial Linear Codes (LINEAR CODES OVER FINITE FIELDS)
- The Coxeter Group (ROOT SYSTEMS)
simple-assignment
- Simple Assignment (STATEMENTS AND EXPRESSIONS)
simple-char-ops
- Char_simple-char-ops (Example H42E2)
simple-finite-ring
- CodeRng_simple-finite-ring (Example H164E4)
simple-lorentz-lat-ex
- LatNF_simple-lorentz-lat-ex (Example H32E9)
simple-nflat-example
- LatNF_simple-nflat-example (Example H32E4)
simple-recog
- Recognition of Simple *-Algebras (ALGEBRAS WITH INVOLUTION)
simplearith
- FldNear_simplearith (Example H23E5)
SimpleCanonicalDissidentPoints
- SimpleCanonicalDissidentPoints(C) : GRCrvS -> SeqEnum
SimpleCodeChain
- CodeAdd_SimpleCodeChain (Example H166E5)
- CodeFld_SimpleCodeChain (Example H161E4)
SimpleCohomologyDimensions
- SimpleCohomologyDimensions(M) : ModAlg -> SeqEnum
SimpleCoreflectionMatrices
- SimpleCoreflectionMatrices(W) : GrpMat -> [AlgMatElt]
- SimpleReflectionMatrices(W) : GrpMat -> [AlgMatElt]
- SimpleReflectionMatrices(W) : GrpPermCox -> []
- SimpleReflectionMatrices(R) : RootDtm -> []
- SimpleReflectionMatrices(R) : RootSys -> []
SimpleCoroots
- SimpleCoroots(G) : GrpLie -> Mtrx
- SimpleRoots(G) : GrpLie -> Mtrx
- SimpleRoots(W) : GrpMat -> Mtrx
- SimpleRoots(W) : GrpPermCox -> Mtrx
- SimpleRoots(R) : RootStr -> Mtrx
- SimpleRoots(R) : RootSys -> Mtrx
SimpleEpimorphisms
- SimpleEpimorphisms(P) : Rec -> SeqEnum, Tup
SimpleExtension
- SimpleExtension(F) : FldAlg -> FldAlg
- SimpleExtension(F) : FldNum -> FldNum
simplefourdesc
- CrvEllQNF_simplefourdesc (Example H130E35)
SimpleGroup
- SimpleGroup(N) : RngIntElt -> Grp
- SimpleGroupOfOrder(M) : RngIntElt -> Grp
SimpleGroupID
- SimpleGroupID(N) : -> Tup -> RngIntElt
SimpleGroupIDToNumber
- SimpleGroupIDToNumber(T) : Tup -> RngIntElt
SimpleGroupName
- SimpleGroupName(G : parameters): GrpMat -> BoolElt, List
- SimpleGroupName(N) : RngIntElt -> MonStgElt
SimpleGroupNameToNumber
- SimpleGroupNameToNumber(S) : MonStgElt -> RngIntElt
SimpleGroupOfLieType
- SimpleGroupOfLieType(X, n, k) : MonStgElt, RngIntElt, Rng -> GrpLie
- SimpleGroupOfLieType(X, n, q) : MonStgElt, RngIntElt, RngIntElt -> GrpLie
SimpleGroupOfOrder
- SimpleGroup(F) : RngIntEltFac -> Grp
- SimpleGroupOfOrder(M) : RngIntElt -> Grp
SimpleHomologyDimensions
- SimpleHomologyDimensions(M) : ModAlg -> SeqEnum
SimpleLattice
- SimpleLattice(L) : LatNF -> LatNF
SimpleModule
- SimpleModule(B, i) : AlgBas, RngIntElt -> ModAlg
- IrreducibleModule(B, i) : AlgBas, RngIntElt -> ModAlg
SimpleOrders
- SimpleOrders(W) : GrpMat -> [RngIntElt]
SimpleParameters
- SimpleParameters(A) : AlgMat -> SeqEnum
SimpleQuantAdditiveConstr
- QECC_SimpleQuantAdditiveConstr (Example H167E4)
SimpleQuantConstr
- QECC_SimpleQuantConstr (Example H167E1)
SimpleQuantConstrMat
- QECC_SimpleQuantConstrMat (Example H167E5)
SimpleQuantExtendedConstr
- QECC_SimpleQuantExtendedConstr (Example H167E2)
SimpleQuantSelfDualConstr
- QECC_SimpleQuantSelfDualConstr (Example H167E3)
SimpleQuotientAlgebras
- SimpleQuotientAlgebras(A) : AlgMat -> Rec
SimpleQuotientProcess
- SimpleQuotientProcess(F, deg1, deg2, ord1, ord2: parameters) : GrpFP, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Rec
SimpleQuotients
- SimpleQuotients(F, deg1, deg2, ord1, ord2: parameters) : GrpFP, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> List
- GrpFPInt_SimpleQuotients (Example H77E38)
- GrpFP_SimpleQuotients (Example H78E75)
SimpleReflectionMatrices
- SimpleCoreflectionMatrices(W) : GrpMat -> [AlgMatElt]
- SimpleReflectionMatrices(W) : GrpMat -> [AlgMatElt]
- SimpleReflectionMatrices(W) : GrpPermCox -> []
- SimpleReflectionMatrices(R) : RootDtm -> []
- SimpleReflectionMatrices(R) : RootSys -> []
SimpleReflectionPermutations
- SimpleReflectionPermutations(W) : GrpMat -> []
- SimpleReflectionPermutations(W) : GrpPermCox -> [GrpPermElt]
- SimpleReflectionPermutations(R) : RootDtm -> []
- SimpleReflectionPermutations(R) : RootSys -> []
SimpleReflections
- SimpleReflections(W) : GrpFPCox -> [GrpFPCoxElt]
SimpleRelativeRoots
- PositiveRelativeRoots(R) : RootDtm -> SetIndx
- NegativeRelativeRoots(R) : RootDtm -> SetIndx
- SimpleRelativeRoots(R) : RootDtm -> SetIndx
- RelativeRoots(R) : RootDtm -> SetIndx

V2.28, 13 July 2023

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