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Model Theory of Groups and Automorphism Groups

David M Evans editor

Format:Paperback

Publisher:Cambridge University Press

Published:10th Jul '97

Currently unavailable, and unfortunately no date known when it will be back

Model Theory of Groups and Automorphism Groups cover

Surveys recent interactions between model theory and algebra, notably group theory. Topics include automorphism groups of algebraically closed fields, aspects of model theory of various classes of groups, and model theory of pseudo-finite fields and of modules. Contains the first comprehensive survey of finite covers.This volume surveys recent interactions between model theory and other branches of mathematics, notably group theory. Beginning with an introductory chapter describing relevant background material, the book contains contributions from many leading international figures in this area. Topics described include automorphism groups of algebraically closed fields, the model theory of pseudo-finite fields and applications to the subgroup structure of finite Chevalley groups. Model theory of modules, and aspects of model theory of various classes of groups, including free groups, are also discussed. The book also contains the first comprehensive survey of finite covers. Many new proofs and simplifications of recent results are presented and the articles contain many open problems. This book will be a suitable guide for graduate students and a useful reference for researchers working in model theory and algebra.

'The interesting articles range from purely group theoretic ones to mainly model theoretic ones … and reflect impressively the prolific interaction between these two fields.' Monatshefte für Mathematik

ISBN: 9780521589550

Dimensions: 229mm x 153mm x 15mm

Weight: 315g

232 pages