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Algorithmic algebra and number theory: selected papers from a conference, held at the University of Heidelberg in October 1997

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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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Détails bibliographiques
Collectivités auteurs: Universität Heidelberg (Autre) , Deutsche Forschungsgemeinschaft (Autre)
Autres auteurs: Matzat, Bernd Heinrich (Éditeur intellectuel) , Greuel, Gert-Martin (Éditeur intellectuel) , Hiss, Gerhard (Éditeur intellectuel)
Format: Conference Paper
Langue:anglais
Publié: Berlin, Heidelberg Springer Berlin Heidelberg 1999
DOI:10.1007/978-3-642-59932-3
Accès en ligne:Resolving-System, lizenzpflichtig, Volltext: http://dx.doi.org/10.1007/978-3-642-59932-3
Resolving-System, lizenzpflichtig: https://doi.org/10.1007/978-3-642-59932-3
Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:0903.00035
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Notes sur l'auteur:B. Heinrich Matzat, Gert-Martin Greuel, Gerhard Hiss (ed.)
Table des matières:
  • Algorithmic Algebraic Number TheorySieving 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.

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