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Magma
Computer • algebra
Documentation
Contents
Index (i)
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intro-finitely-presented
INTRODUCTION TO FP-GROUPS [FINITELY-PRESENTED GROUPS]
intro-gen
Introduction (ALGEBRAIC SURFACES)
intro-linsys
Linear Systems (SCHEMES)
intro-main
Introduction (ALGEBRAIC SURFACES)
intro-map
Maps (SCHEMES)
intro-P3
Introduction (ALGEBRAIC SURFACES)
intro-point
Points (ALGEBRAIC CURVES)
intro-points
Rational Points (SCHEMES)
intro-schemes
Schemes (SCHEMES)
intro-types
Aside: Types of Schemes (SCHEMES)
Introduction
Introduction (HYPERGEOMETRIC MOTIVES)
Introduction (MOD P GALOIS REPRESENTATIONS)
Introduction (NEARFIELDS)
Introduction (PARALLELISM)
Introduction (POLAR SPACES)
Introduction to Riemann Surfaces (RIEMANN SURFACES)
introduction
Automatic Conversions (BRAID GROUPS)
Basics (MODULAR SYMBOLS)
Cartan-Type Lie Algebras (LIE ALGEBRAS)
Computing the Class Invariants (BRAID GROUPS)
Conjugacy Testing and Conjugacy Search (BRAID GROUPS)
Conjugacy Testing and Conjugacy Search (BRAID GROUPS)
Default Presentations (BRAID GROUPS)
Definition of the Class Invariants (BRAID GROUPS)
Guide for the Reader (LIE ALGEBRAS)
Introduction (ABELIAN GROUPS)
Introduction (ADDITIVE CODES)
Introduction (ADMISSIBLE REPRESENTATIONS OF GL
2
(Q
p
))
Introduction (AFFINE ALGEBRAS)
Introduction (ALGEBRAIC FUNCTION FIELDS)
Introduction (ALGEBRAIC POWER SERIES RINGS)
Introduction (ALGEBRAIC-GEOMETRIC CODES)
Introduction (ALGEBRAICALLY CLOSED FIELDS)
Introduction (ALGEBRAS WITH INVOLUTION)
Introduction (ALGEBRAS)
Introduction (ALMOST SIMPLE GROUPS)
Introduction (ASSOCIATIVE ALGEBRAS)
Introduction (ASSOCIATIVE ARRAYS)
Introduction (AUTOMATIC AND HYPERBOLIC GROUPS)
Introduction (AUTOMORPHISM GROUPS)
Introduction (BASIC ALGEBRAS)
Introduction (BINARY QUADRATIC FORMS)
Introduction (BLACK-BOX GROUPS)
Introduction (BRAID GROUPS)
Introduction (CLASS FIELD THEORY)
Introduction (CLIFFORD ALGEBRAS)
Introduction (COHERENT SHEAVES)
Introduction (CONGRUENCE SUBGROUPS OF PSL
2
(R))
Introduction (COPRODUCTS)
Introduction (COXETER GROUPS)
Introduction (COXETER SYSTEMS)
Introduction (CYCLOTOMIC FIELDS)
Introduction (DATABASES OF GROUPS)
Introduction (DEBUGGING MAGMA CODE)
Introduction (DIFFERENTIAL RINGS)
Introduction (DIRICHLET AND HECKE CHARACTERS)
Introduction (ELLIPTIC CURVES)
Introduction (ENUMERATIVE COMBINATORICS)
Introduction (ENVIRONMENT AND OPTIONS)
Introduction (FINITE FIELDS)
Introduction (FINITE PLANES)
Introduction (FINITE SOLUBLE GROUPS)
Introduction (FINITELY PRESENTED ALGEBRAS)
Introduction (FINITELY PRESENTED GROUPS)
Introduction (FINITELY PRESENTED GROUPS)
Introduction (FINITELY PRESENTED SEMIGROUPS)
Introduction (FREE GROUPS)
Introduction (FREE MODULES)
Introduction (FUNCTIONS, PROCEDURES AND PACKAGES)
Introduction (FUNCTIONS, PROCEDURES AND PACKAGES)
Introduction (GALOIS RINGS)
Introduction (GENERAL p-ADIC EXTENSIONS)
Introduction (GRÖBNER BASES)
Introduction (GRAPHS)
Introduction (GROUP ALGEBRAS)
Introduction (GROUPS DEFINED BY REWRITE SYSTEMS)
Introduction (GROUPS OF LIE TYPE)
Introduction (GROUPS OF STRAIGHT-LINE PROGRAMS)
Introduction (GROUPS)
Introduction (HADAMARD MATRICES)
Introduction (HILBERT MODULAR FORMS)
Introduction (HILBERT SERIES OF POLARISED VARIETIES)
Introduction (HYPERELLIPTIC CURVES)
Introduction (INCIDENCE GEOMETRY)
Introduction (INCIDENCE STRUCTURES AND DESIGNS)
Introduction (INTEGER RESIDUE CLASS RINGS)
Introduction (INTRODUCTION TO AGGREGATES [SETS, SEQUENCES, AND MAPPINGS])
Introduction (INTRODUCTION TO FP-GROUPS [FINITELY-PRESENTED GROUPS])
Introduction (INVARIANT THEORY)
Introduction (KAC-MOODY LIE ALGEBRAS)
Introduction (LATTICES OVER NUMBER FIELDS)
Introduction (LATTICES WITH GROUP ACTION)
Introduction (LATTICES)
Introduction (LAZY POWER SERIES RINGS)
Introduction (LIE ALGEBRAS)
Introduction (LINEAR CODES OVER FINITE FIELDS)
Introduction (LINEAR CODES OVER FINITE FIELDS)
Introduction (LINEAR CODES OVER FINITE RINGS)
Introduction (LINEAR CODES OVER THE INTEGER RESIDUE RING Z
4
)
Introduction (LINEAR PROGRAMMING)
Introduction (LISTS)
Introduction (LOCAL POLYNOMIAL RINGS)
Introduction (LOW DENSITY PARITY CHECK CODES)
Introduction (MAGMA SEMANTICS)
Introduction (MAPPINGS)
Introduction (MATRICES)
Introduction (MATRIX ALGEBRAS)
Introduction (MATRIX GROUPS OVER FINITE FIELDS)
Introduction (MATRIX GROUPS OVER GENERAL RINGS)
Introduction (MATRIX GROUPS OVER GENERAL RINGS)
Introduction (MODELS OF GENUS ONE CURVES)
Introduction (MODULAR ABELIAN VARIETIES)
Introduction (MODULAR CURVES)
Introduction (MODULAR FORMS OVER IMAGINARY QUADRATIC FIELDS)
Introduction (MODULAR FORMS)
Introduction (MODULAR SYMBOLS)
Introduction (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
Introduction (MODULES OVER AN ALGEBRA AND GROUP REPRESENTATIONS)
Introduction (MODULES OVER DEDEKIND DOMAINS)
Introduction (MODULES OVER MULTIVARIATE RINGS)
Introduction (MONOIDS GIVEN BY REWRITE SYSTEMS)
Introduction (MULTIGRAPHS)
Introduction (MULTIVARIATE POLYNOMIAL RINGS)
Introduction (NETWORKS)
Introduction (NEWTON POLYGONS)
Introduction (NUMBER FIELDS AND ORDERS)
Introduction (NUMBER FIELDS)
Introduction (p-ADIC RINGS AND THEIR EXTENSIONS)
Introduction (p-ADIC RINGS AND THEIR EXTENSIONS)
Introduction (PARALLELISM)
Introduction (PARTITIONS, WORDS AND YOUNG TABLEAUX)
Introduction (PERMUTATION GROUPS)
Introduction (POLYCYCLIC GROUPS)
Introduction (POLYCYCLIC GROUPS)
Introduction (POLYNOMIAL RING IDEAL OPERATIONS)
Introduction (POWER, LAURENT AND PUISEUX SERIES)
Introduction (PSEUDO-RANDOM BIT SEQUENCES)
Introduction (QUADRATIC FIELDS)
Introduction (QUADRATIC FORMS)
Introduction (QUANTUM CODES)
Introduction (QUANTUM GROUPS)
Introduction (QUATERNION ALGEBRAS)
Introduction (RATIONAL FIELD)
Introduction (RATIONAL FUNCTION FIELDS)
Introduction (RATIONAL FUNCTION FIELDS)
Introduction (REAL AND COMPLEX FIELDS)
Introduction (RECORDS)
Introduction (REFLECTION GROUPS)
Introduction (REPRESENTATIONS OF SYMMETRIC GROUPS)
Introduction (REPRESENTATIONS OF LIE GROUPS AND ALGEBRAS)
Introduction (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
Introduction (RING OF INTEGERS)
Introduction (ROOT DATA)
Introduction (ROOT SYSTEMS)
Introduction (SEQUENCES)
Introduction (SERIES RINGS OVER p-ADIC RINGS)
Introduction (SETS)
Introduction (SIMPLICIAL HOMOLOGY)
Introduction (SMALL MODULAR CURVES)
Introduction (SPARSE MATRICES)
Introduction (STATEMENTS AND EXPRESSIONS)
Introduction (STRUCTURE CONSTANT ALGEBRAS)
Introduction (SUPERSINGULAR DIVISORS ON MODULAR CURVES)
Introduction (SYMMETRIC FUNCTIONS)
Introduction (TUPLES AND CARTESIAN PRODUCTS)
Introduction (UNIVARIATE POLYNOMIAL RINGS)
Introduction (VALUATION RINGS)
Introduction (VECTOR SPACES)
Introduction and First Examples (CONVEX POLYTOPES AND POLYHEDRA)
Introduction and First Examples (SCHEMES)
Introduction and First Examples (TORIC VARIETIES)
INTRODUCTION TO LIE THEORY [LIE THEORY]
Lattice Structure and Simple Elements (BRAID GROUPS)
Melikian Lie Algebras (LIE ALGEBRAS)
Mixed Canonical Form and Lattice Operations (BRAID GROUPS)
Normal Form for Elements of a Braid Group (BRAID GROUPS)
Printing of Elements (BRAID GROUPS)
Representation Used for Group Operations (BRAID GROUPS)
Representing Elements of a Braid Group (BRAID GROUPS)
Contents
Index (i)
Search
V2.28, 13 July 2023