Algorithmic Algebra and Number Theory Selected Papers From a Conference Held at the University of Heidelberg in October 1997

This book contains 22 lectures presented at the final conference of the German research program "Algorithmic Number Theory and Algebra 1991-1997", sponsored by the Deutsche Forschungsgemeinschaft. The purpose of this research program and the meeting was to bring together developers of comp...

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Bibliographic Details
Other Authors: Matzat, B.Heinrich (Editor), Greuel, Gert-Martin (Editor), Hiss, Gerhard (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Subjects:
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Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Algorithmic Algebraic Number Theory
  • Sieving Methods for Class Group Computation
  • Arithmetic of Modular Curves and Applications
  • Local and Global Ramification Properties of Elliptic Curves in Characteristics Two and Three
  • Techniques for the Computation of Galois Groups
  • Fortschritte in der inversen Galoistheorie
  • From Class Groups to Class Fields
  • A Gross-Zagier Formula for Function Fields
  • Extremal Lattices
  • Algorithmic Commutative Algebra and Algebraic Geometry
  • On the Real Nullstellensatz
  • Primary Decomposition: Algorithms and Comparisons
  • Real Quantifier Elimination in Practice
  • Hilbert Series and Degree Bounds in Invariant Theory
  • Invariant Rings and Fields of Finite Groups
  • Computing Versal Deformations with Singular
  • Algorithms for the Computation of Free Resolutions
  • Algorithmic Group and Representation Theory
  • Computational Aspects of the Isomorphism Problem
  • Representations of Heeke Algebras and Finite Groups of Lie Type
  • The Groups of Order 512
  • Computational Aspects of Representation Theory of Finite Groups II
  • High Performance Computations in Group Representation Theory
  • The Structure of Maximal Finite Primitive Matrix Groups
  • Presentations and Representations of Groups