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Introduction
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MAGMA
Summary of New Features in Magma V2.10
April 2003
Introduction
Summary
Removals and Changes
Documentation
Aggregates
Mappings [HB 13]
Semigroups and Monoids
Monoids Defined by Rewrite Systems [HB 15]
Groups
Permutation Groups [HB 17]
Matrix Groups over Finite Fields (Aschbacher Analysis) [HB 18]
Finite Soluble Groups [HB 19]
Databases of Groups [HB 24]
Finitely Presented Groups [HB 26]
Braid Groups [HB 29]
Groups Defined by Rewrite Systems [HB 30]
Automatic Groups [HB 31]
Subgroups of
PSL
(2,
R
) [HB 33]
Basic Rings
Real and Complex Fields
Polynomial Rings [HB 38]
Linear Algebra and Module Theory
Matrices [HB 42]
Commutative Algebra
Ideal Theory and Gröbner Bases and Affine Algebras [HB 47]
Extensions of Rings
Algebraic Number Fields [HB 50]
Quadratic Fields [HB 52]
Cyclotomic Fields [HB 53]
Abelian Extensions [HB 54]
Algebraic Function Fields [HB 57]
Newton Polygons [HB 60]
p
-adic Rings and Fields [HB 61]
Representation Theory
K
[
G
]-Modules and Group Representations [HB 73]
Lie Theory
Root Systems and Root Data (New) [HB 79-80]
Coxeter Systems (New) [HB 82]
Coxeter Groups (New) [HB 83]
Coxeter Groups as Permutation Groups [HB 84]
Reflection Groups [HB 85]
Groups of Lie Type [HB 86]
Algebraic Geometry
Schemes [HB 87]
Algebraic Curves [HB 88]
Function Fields and Divisors on Curves
Elliptic Curves [HB 91]
Elliptic Curves over the Rational Field
Elliptic Curves over an Algebraic Number Field
Hyperelliptic Curves [HB 92]
Numerical Graded Rings (New) [HB 99]
Incidence Structures
Graphs [HB 102]
Networks (New) [HB 103]
Incidence Structures and Designs [HB 104]
Finite Planes [HB 105]
Coding Theory
Linear Codes over Finite Fields [HB 107]
Linear Codes over Finite Rings [HB 108]
