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Algorithmic Algebra and Number Theory : Selected Papers of a Conference Held at the University of Heidelberg in October 1997 - B. Heinrich Matzat

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

By: B. Heinrich Matzat (Editor), Gert-Martin Greuel (Editor), Gerhard Hiss (Editor)

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This text contains 22 lectures presented at the final conference of the German research programme "Algorithmic Number Theory and Algebra 1991-1997", sponsored by the Deutsche Forschungsgemeinschaft. The purpose of this research programme and the meeting was to bring together developers of computer algebra software and researchers using computational methods to gain insight into experimental problems and theoretical questions in algebra and number theory. The book gives an overview on algorithmic methods and results obtained during this period mainly in algebraic geometry, and group and representation theory. Some of the articles illustrate the current state of the computer algebra systems developed with support from the research programme, for example KANT and LIDiA for algebraic number theory, SINGULAR, REDLONG and INVAR for commutative algebra and invariant theory respectively, and GAP, SYSYPHOS and CHEVIE for group and representation theory.

Sieving Methods for Class Group Computationp. 3
Arithmetic of Modular Curves and Applicationsp. 11
Local and Global Ramification Properties of Elliptic Curves in Characteristics Two and Threep. 49
Techniques for the Computation of Galois Groupsp. 65
Fortschritte in der inversen Galoistheoriep. 79
From Class Groups to Class Fieldsp. 103
A Gross-Zagier Formula for Function Fieldsp. 121
Extremal Latticesp. 139
On the Real Nullstellensatzp. 173
Primary Decomposition: Algorithms and Comparisonsp. 187
Real Quantifier Elimination in Practicep. 221
Hilbert Series and Degree Bounds in Invariant Theoryp. 249
Invariant Rings and Fields of Finite Groupsp. 265
Computing Versal Deformations with SINGULARp. 283
Algorithms for the Computation of Free Resolutionsp. 295
Computational Aspects of the Isomorphism Problemp. 313
Representations of Hecke Algebras and Finite Groups of Lie Typep. 331
The Groups of Order 512p. 379
Computational Aspects of Representation Theory of Finite Groups IIp. 381
High Performance Computations in Group Representation Theoryp. 399
The Structure of Maximal Finite Primitive Matrix Groupsp. 417
Presentations and Representations of Groupsp. 423
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540646709
ISBN-10: 3540646701
Audience: General
Format: Paperback
Language: English
Number Of Pages: 434
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 2.31
Weight (kg): 0.62