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  1. Home
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  3. Model Theory of Groups and Automorphism Groups
  • Cited by 5
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
1997
Online ISBN:
9780511629174
DOI:
https://doi.org/10.1017/CBO9780511629174
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets, Algebra
Series:
London Mathematical Society Lecture Note Series (244)
Information

Book description

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.

Reviews

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

Source: Monatshefte für Mathematik

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