Model Theory of Groups and Automorphism Groups [Paperback]

Surveys recent interactions between model theory and other branches of mathematics, notably group theory.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.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.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.lã'