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Introduction
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MAGMA
Summary of New Features in Magma V2.9
May 3, 2002
Introduction
Summary
Documentation
Groups
General Groups
Permutation Groups
General Matrix Groups
Finitely Presented Groups [HB 20, 21]
Polycyclic Groups
Finite Soluble Groups
Groups Defined by Rewrite Systems
Automatic Groups
Braid Groups (New) [HB31]
Construction and Arithmetic
Homomorphisms
Subgroups of
Databases of Groups [HB33]
Semigroups and Monoids
Monoids Defined by Rewrite Systems
Basic Rings
Integer Ring
Finite Fields
Extensions of Rings
Algebraic Number Fields
Elements, Ideals and Quotients
Cyclotomic Fields
Abelian Extensions
Algebraic Function Fields
Newton Polygons
Lazy Series Rings (New) [HB62]
Linear Algebra and Module Theory
Sparse Matrices (New)
Modules over Dedekind domains
Lie Algebras ([HB ???]
Algebraic Geometry
Schemes
Function Fields and Divisors on Curves
Elliptic Curves
General Elliptic Curves
Hyperelliptic Curves
Hyperelliptic Curves
The Module of Supersingular Points (New)
Modular Forms
Incidence Structures
Partitions and Tableaux
Graphs
Incidence Geometry
Incidence Geometries
Coset Geometries