Algorithmic algebra and number theory Book

Table of Contents/Inhaltsverzeichnis Chapter 1: Algorithmic Algebraic Number Theory J.Buchmann, M.J.Jacobson Jr., S.Neis, P.Theobald and D.Weber: Sieving Methods for Class Group Computation G. Frey and M. M"uller: Arithmetic of Modular Curves and Applications E.-U. Gekeler: Local and Global Ramification Properties of Elliptic Curves in Characteristics two and three A. Hulpke: Techniques for the Computation of Galois Groups B. H. Matzat: Fortschritte in der inversen Galoistheorie M. E. Pohst: From Class Groups to Class Fields H.-G. R"uck and U. Tipp: A. Gross-Zagier formula for function fields R. Scharlau and R. Schulze-Pillot: Extremal lattices Chapter 2: Algorithmic Commutative Algebra and Algebraic Geometry E. Becker and J. Schmid: On the Real Nullstellensatz W. Decker, G.-M. Greuel and G. Pfister: Primary Decompositions: Algorithms and Comparisons A. Dolzmann, Th. Sturm and V. Weispfenning: Real Quantifier Elimination in Practice G. Kemper: Hilbert Series and Degree Bounds in Invariant Theory G. Kemper and G. Malle: Invariant rings and fields of finite groups B. Martin: Computing Versal Deformations with SINGULAR Th. Siebert: Algorithms for the computation of free resolutions Chapter 3: Algorithmic Group and Representation Theory F. M. Bleher, W. Kimmerle, K. W. Roggenkamp and M. Wursthorn: Computational Aspects of the Isomorphism Problem R. Dipper, M. Geck, G. Hiss and G. Malle: Representations of Hecke algebras and finite groups of Lie type B. Eick and E. A. Orien: The groups of order 512 K. Lux and H. Pahlings: Computational aspects of representation theory of finite groups II G. O. Michler: High Performance Computations in Group Representation Theory G. Nebe: The structure of maximal finite primitive matrix groups W. Plesken: Presentations and representations of groups ' Chapter 2: Algorithmic Commutative Algebra and Algebraic Geometry p.177 E. Becker and J. Schmid: p.179 On the Real Nullstellensatz W. Decker, G.-M. Greuel and G. Pfister: p.193 Primary Decompositions: Algorithms and Comparisons A. Dolzmann, Th. Sturm and V. Weispfenning: p.227 Real Quantifier Elimination in Practice G. Kemper: p.255 Hilbert Series and Degree Bounds in Invariant Theory G. Kemper and G. Malle: p.271 Invariant rings and fields of finite groups B. Martin: p.289 Computing Versal Deformations with SINGULAR Th. Siebert: p.301 Algorithms for the computation of free resolutions Chapter 3: Algorithmic Group and Representation Theory p.319 F. M. Bleher, W. Kimmerle, K. W. Roggenkamp and M. Wursthorn: p.321 Computational Aspects of the Isomorphism Problem R. Dipper, M. Geck, G. Hiss and G. Malle: p.339 Representations of Hecke algebras and finite groups of Lie type B. Eick and E. A. Orien: p.387 The groups of order 512 K. Lux and H. Pahlings: p.389 Computational aspects of representation theory of finite groups II G. O. Michler: p.407 High Performance Computations in Group Representation Theory G. Nebe: p.425 The structure of maximal finite primitive matrix groups W. Plesken: p.431 Presentations and representations of groups '