Groups, Combinatorics and Geometry

Alexander Anatolievich Ivanov

ISBN 10: 9812383123 / ISBN 13: 9789812383129

Edité par World Scientific Publishing Company Mär 2003, 2003

Neuware - 'This book contains the proceedings of the L.M.S. Durham Symposium on Groups, Geometry and Combinatorics, July 16-26, 2001'--P. v. N° de réf. du vendeur 9789812383129

Synopsis :

Over the past 20 years, the theory of groups -- in particular simple groups, finite and algebraic -- has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups.This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications.

Présentation de l'éditeur: Since the classification of finite simple groups was announced in 1980 the subject has continued to expand opening many new areas of research. This volume contains a collection of papers, both survey and research, arising from the 1990 Durham conference in which the excellent progress of the decade was surveyed and new goals considered. The material is divided into eight sections: sporadic groups; moonshine; local and geometric methods in group theory; geometries and related groups; finite and algebraic groups of Lie type; finite permutation groups; further aspects of Lie groups; related topics. The list of contributors is impressive and the subjects covered include many of the fascinating developments in group theory that have occurred in recent years. It will be an invaluable document for mathematicians working in group theory, combinatorics and geometry.

Détails bibliographiques

Titre : Groups, Combinatorics and Geometry
Éditeur : World Scientific Publishing Company Mär 2003
Date d'édition : 2003
Reliure : Buch
Etat : Neu