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Release Notes index
Summary of New Features in Magma V2.7
June 30, 2000
Introduction
Summary
Removals and Changes
Documentation
Language and System Features
Random Object Generation [HB 1]
Types and Structures [HB 1]
Packages and Attributes [HB 2]
Aggregates
Tuples [HB 9]
Mappings [HB 13]
Groups
General Groups [HB 19]
Permutation Groups [HB 20]
General Matrix Groups [HB 21]
Reflection Groups (New) [HB 23]
Finitely Presented Groups [HB 24, 31]
Finitely Generated Abelian Groups [HB 25]
Finite Soluble Groups [HB 26]
Polycyclic Groups (New) [HB 27]
Construction and Arithmetic
Subgroups
Structural information
Rings, Fields and Orders
Finite Fields [HB 37]
Univariate Polynomial Rings [HB 36]
Algebraic Number Fields [HB 38]
Algebraically Closed Fields (New) [HB 41]
Rational Function Fields [HB 42]
Algebraic Function Fields (Expandend) [HB 43]
General Function Fields
Invariants
Orders and Fractional Ideals
Places
Divisors
Local (including
p
-adic) Rings and Fields [HB 45, 46]
Commutative Algebra
Multivariate Polynomial Rings [HB 50]
Affine Algebras (New Chapter) [HB 51]
Linear Algebra and Module Theory
Matrices (New Chapter) [HB 54]
Vector Spaces [HB 56]
R
-Modules [HB 56]
Lattices and Quadratic Forms
Lattices [HB 57]
Binary Quadratic Forms (New Chapter) [HB 58]
Algebras
Quaternion Algebras (New) [HB 62]
Algebraic Geometry
Resolution Graphs and Splice Diagrams (New) [HB 74]
Elliptic Curves [HB 75]
General Elliptic Curves
Elliptic Curves over the Rational Field
Elliptic Curves over Finite Fields
Torsion Subgroup Schemes of Elliptic Curves
Hyperelliptic Curves (New) [HB 76]
Hyperelliptic Curves
Jacobians of Hyperelliptic Curves
Kummer Surfaces
Modular Forms (New) [HB 77]
Modular Symbols
Dirichlet Characters
Hecke Modules of Brandt
Classical Modular Forms and Functions (Revised)
Incidence Structures
Incidence Structures and Designs [HB 80]
Incidence Geometry (New) [HB 82]
Incidence Geometries (New)
Coset Geometries (New)
Coding Theory and Cryptography
Linear Codes [HB 83]
Pseudo-Random Sequences (New) [HB 84]
