LMS: 244 Model Theory Grps Auto Grp (London Mathematical Society Lecture Note Series)

David M. Evans

ISBN 10: 052158955X / ISBN 13: 9780521589550

Published by Cambridge University Press 2008-08-21, 2008

About this Item

Seller Inventory # 6666-IUK-9780521589550

Bibliographic Details

• Title: LMS: 244 Model Theory Grps Auto Grp (London Mathematical Society Lecture Note Series)
• Publisher: Cambridge University Press 2008-08-21
• Publication Date: 2008
• Language: English
• ISBN 10: 052158955X
• ISBN 13: 9780521589550
• Binding: Paperback
• Condition: New

About this title

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.

Book Description

Recent developments in model theory has resulted in a wave of new applications of model theory to many other branches of mathematics. This volume examines these recent interactions, most notably that with grouptheory. An introductory chapter describes relevant background material and is followed by contributions from many leading international figures in this area. New proofs and simplifications of recent results are also 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.