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Introduction
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MAGMA
Summary of New Features in Magma V2.8
July 31, 2001
Introduction
Summary
Documentation
Groups
General Groups [HB 17]
Permutation Groups [HB 18]
General Matrix Groups [HB 19]
Matrix Groups over Finite Fields [HB 19]
Finitely Presented Groups [HB 20, 21]
Polycyclic Groups [HB 22]
Finite Soluble Groups [HB 23]
Finite
p
-groups [HB 24]
Generic Abelian Groups (New) [HB 25]
Finitely Generated Abelian Groups [HB 26]
Subgroups of
PSL
(2,
R
) (New) [HB31]
Groups of Lie Type
Root Datum for Groups of Lie Type (New) [HB33]
Cartan matrices and Cartan types
Creating Root datum
Operators on Root Datum
Related Invariants
Coxeter Groups [HB34]
Finite Groups of Lie Type (New) [HB35]
Basic Rings
Integer Ring [HB 40]
Real and Complex Fields [HB 43]
Univariate Polynomial Rings [HB 44]
Rational Function Fields [HB 46]
Galois Rings (New) [HB 48]
Extensions of Rings
Algebraic Number Fields [HB 53]
Fields and Orders
Elements, Ideals and Quotients
Quadratic Fields [HB 54]
Cyclotomic Fields [HB 55]
Algebraic Function Fields [HB 57]
Newton Polygons [HB 58]
Local (including
p
-adic) Rings and Fields [HB 42, 59]
Commutative Algebra
Ideal Theory and Gröbner Bases (New) [HB 50]
Affine Algebras [HB 51]
Modules over Affine Algebras [HB 52]
Linear Algebra and Module Theory
Matrices [HB 62]
Modules over Orders (New) [HB 65]
Lattices and Quadratic Forms
Lattices [HB 66]
Binary Quadratic Forms [HB 67]
Representation Theory
Modules over Matrix Algebras [HB 76]
Characters of Finite Groups [HB 77]
Algebraic Geometry
Schemes [HB 81]
Linear Systems
Algebraic Curves
Plane Curves [HB 82]
Rational Curves and Conics [HB 84]
Function Fields and Divisors on Curves [HB 82]
Elliptic Curves [HB 85]
General Elliptic Curves
Elliptic Curves over the Rational Field
Elliptic Curves over Finite Fields
Hyperelliptic Curves [HB 86]
Hyperelliptic Curves
Jacobians of Hyperelliptic Curves
Modular Curves (New) [HB 87]
Modular Symbols [HB 88]
Brandt Modules (New) [HB 89]
Modular Forms (New) [HB 90]
K3 Surface Database [HB 91]
Incidence Structures
Graphs [HB 93]
Coding Theory
Linear Codes over Finite Fields (New) [HB 97]
Linear Codes over Finite Rings (New) [HB 98]
Optimization
Linear Programming (New) [HB 100]
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