Documentation

elementary
- Elementary Divisors (Smith Form) (SPARSE MATRICES)
- Elementary Functions (MODULES OVER DEDEKIND DOMAINS)
- Elementary Functions (MODULES OVER DEDEKIND DOMAINS)
- ModDed_elementary (Example H60E3)
elementary-divisors
- Elementary Divisors (Smith Form) (SPARSE MATRICES)
elementary-functions
- Elementary Functions (MODULES OVER DEDEKIND DOMAINS)
Elementary-Invariants
- Elementary Invariants (BRANDT MODULES)
Elementary-operations
- Elementary Operations (MULTILINEAR ALGEBRA)
elementary_ext_map
- Creation of Unbounded Precision Extensions (p-ADIC RINGS AND THEIR EXTENSIONS)
elementary_ext_ram
- Creation of Totally Ramified Extensions (p-ADIC RINGS AND THEIR EXTENSIONS)
elementary_ext_unram
- Creation of Unramified Extensions (p-ADIC RINGS AND THEIR EXTENSIONS)
Elementary_Ideals
- AlgQuat_Elementary_Ideals (Example H93E16)
elementary_invariants
- Elementary Invariants (HYPERELLIPTIC CURVES)
elementary_misc
- Creation of Related Rings (p-ADIC RINGS AND THEIR EXTENSIONS)
elementary_padic
- Creation Functions for the p-adics (p-ADIC RINGS AND THEIR EXTENSIONS)
ElementaryAbelianGroup
- ElementaryAbelianGroup(GrpGPC, p, n) : Cat, RngIntElt, RngIntElt -> GrpGPC
ElementaryAbelianNormalSubgroup
- ElementaryAbelianNormalSubgroup(G) : GrpPerm -> GrpPerm
ElementaryAbelianQuotient
- ElementaryAbelianQuotient(G, p) : GrpAb, RngIntElt -> GrpAb, Map
- ElementaryAbelianQuotient(G, p) : GrpFP, RngIntElt -> GrpAb, Map
- ElementaryAbelianQuotient(G, p) : GrpGPC, RngIntElt -> GrpAb, Map
- ElementaryAbelianQuotient(G, p) : GrpMat, RngIntElt -> GrpAb, Map
- ElementaryAbelianQuotient(G, p) : GrpPC, RngIntElt -> GrpAb, Map
- ElementaryAbelianQuotient(G, p) : GrpPerm, RngIntElt -> GrpAb, Map
ElementaryAbelianSeries
- ElementaryAbelianSeries(G) : GrpAb -> [ GrpAb ]
- ElementaryAbelianSeries(G) : GrpPC -> [GrpPC]
- ElementaryAbelianSeries(G: parameters) : GrpMat -> [ GrpMat ]
- ElementaryAbelianSeries(G: parameters) : GrpPerm -> [ GrpPerm ]
ElementaryAbelianSeriesCanonical
- ElementaryAbelianSeriesCanonical(G) : GrpMat -> [ GrpMat ]
- ElementaryAbelianSeriesCanonical(G) : GrpPC -> [GrpPC]
- ElementaryAbelianSeriesCanonical(G) : GrpPerm -> [ GrpPerm ]
ElementaryAbelianSubgroups
- CyclicSubgroups(G) : GrpPC -> SeqEnum
- ElementaryAbelianSubgroups(G) : GrpPC -> SeqEnum
- NilpotentSubgroups(G) : GrpPC -> SeqEnum
- AbelianSubgroups(G) : GrpPC -> SeqEnum
- ElementaryAbelianSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
- ElementaryAbelianSubgroups(G: parameters) : GrpPerm -> [ rec< GrpPerm, RngIntElt, RngIntElt, GrpFP> ]
ElementaryDivisors
- ElementaryDivisors(a) : AlgMatElt -> [RngElt]
- ElementaryDivisors(M, N) : ModDed, ModDed -> SeqEnum
- ElementaryDivisors(A) : Mtrx -> [RngElt]
- ElementaryDivisors(A) : MtrxSprs -> [RngElt]
- AlgMat_ElementaryDivisors (Example H90E7)
ElementaryPhiModule
- ElementaryPhiModule(S,d,h) : RngSerLaur, RngIntElt, RngIntElt -> PhiMod
ElementarySymmetricPolynomial
- ElementarySymmetricPolynomial(P, k) : RngMPol, RngIntElt -> RngMPolElt
- ElementarySymmetricPolynomial(P, k) : RngMPol, RngIntElt -> RngMPolElt
- ElementarySymmetricPolynomial(R, i) : RngSLPol, RngIntElt -> RngSLPolElt
ElementaryToHomogeneousMatrix
- ElementaryToHomogeneousMatrix(n): RngIntElt -> AlgMatElt
ElementaryToMonomialMatrix
- ElementaryToMonomialMatrix(n): RngIntElt -> AlgMatElt
ElementaryToPowerSumMatrix
- ElementaryToPowerSumMatrix(n): RngIntElt -> AlgMatElt
ElementaryToSchurMatrix
- ElementaryToSchurMatrix(n): RngIntElt -> AlgMatElt
ElementCreate
- GrpLie_ElementCreate (Example H110E8)
ElementCreationAndRep
- GrpAb_ElementCreationAndRep (Example H75E7)
ElementOperations
- AlgFP_ElementOperations (Example H89E5)
- Ideal_ElementOperations (Example H113E2)
- RngMPolLoc_ElementOperations (Example H114E5)
Elements
- BoxElements(C) : TorCon -> SetEnum
- CanonicalElements(U, w) : AlgQUE, SeqEnum -> SeqEnum
- Elements(P) : GrpBrdClassProc -> SetIndx
- Elements(G) : GrpDrch -> [GrpDrchElt]
- Elements(G) : ModAbVarSubGrp -> SeqEnum
- Points(D) : IncGeom -> SetIndx
- FldFunG_Elements (Example H45E28)
- FldNum_Elements (Example H36E4)
- ModRng_Elements (Example H59E2)
- RngOrd_Elements (Example H39E6)
elements
- Accessing Information (BRAID GROUPS)
- Arithmetic Operators (ALGEBRAIC FUNCTION FIELDS)
- Attributes of Elements (INTEGER RESIDUE CLASS RINGS)
- Conjugacy of Elements of the Exceptional Groups (ALMOST SIMPLE GROUPS)
- Construction of an Element of a General Algebra (ALGEBRAS)
- Construction of Elements of a Structure Constant Algebra (STRUCTURE CONSTANT ALGEBRAS)
- Creation (INTEGER RESIDUE CLASS RINGS)
- Creation of Elements (ALGEBRAIC FUNCTION FIELDS)
- Creation of Elements (MODULAR SYMBOLS)
- Creation of Twisted Polynomials (CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS)
- Element Operations (SERIES RINGS OVER p-ADIC RINGS)
- Element Operations Using the Grading (GRÖBNER BASES)
- Elements (ABELIAN GROUPS)
- Elements (ALGEBRAIC FUNCTION FIELDS)
- Elements (FINITE SOLUBLE GROUPS)
- Elements (HILBERT MODULAR FORMS)
- Elements (LAZY POWER SERIES RINGS)
- Elements (MODULAR FORMS)
- Elements (SUPERSINGULAR DIVISORS ON MODULAR CURVES)
- Elements and Local Monomial Orders (LOCAL POLYNOMIAL RINGS)
- Elements of a Clifford Algebra (CLIFFORD ALGEBRAS)
- Elements of Extensions (POWER, LAURENT AND PUISEUX SERIES)
- Elements of Modules (MODULES OVER DEDEKIND DOMAINS)
- Elements of Orders (ASSOCIATIVE ALGEBRAS)
- Elements of Quaternion Algebras (QUATERNION ALGEBRAS)
- Elements of Residue Class Rings (INTEGER RESIDUE CLASS RINGS)
- Elements of Universal Enveloping Algebras (LIE ALGEBRAS)
- Elements Operations (GENERAL p-ADIC EXTENSIONS)
- Equality and Membership (ALGEBRAIC FUNCTION FIELDS)
- Exact p-adic Elements (p-ADIC RINGS AND THEIR EXTENSIONS)
- Function Fields and their Elements (SCHEMES)
- Functions on Groups and Group Elements (DIRICHLET AND HECKE CHARACTERS)
- Operations on Elements (LIE ALGEBRAS)
- Operations on Elements of the Free Lie Algebra (LIE ALGEBRAS)
- Parent and Category (ALGEBRAIC FUNCTION FIELDS)
- Predicates on Elements (ALGEBRAIC FUNCTION FIELDS)
- Sequence Conversions (ALGEBRAIC FUNCTION FIELDS)
- Special Element Operations (QUADRATIC FIELDS)
- Working with Elements of a Braid Group (BRAID GROUPS)
- FldFunG_elements (Example H45E30)

V2.28, 13 July 2023

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