LMS: 244 Model Theory Grps Auto Grp: Blaubeuren, August 1995 (London Mathematical Society Lecture Note Series, Series Number 244) - Softcover

Evans, David M.

Softcover

ISBN 10: 052158955X ISBN 13: 9780521589550

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Review

'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

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• Language: English
• ISBN 10: 052158955X
• ISBN 13: 9780521589550
• Binding: Paperback
• Number of pages: 232