Groups and Model Theory: GAGTA BOOK 2

✍ Scribed by Olga Kharlampovich (editor); Rizos Sklinos (editor)

• Publisher: De Gruyter
• Year: 2021
• Tongue: English
• Leaves: 244
• Category: Library

✦ Synopsis

This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory.

The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .

Brief Description

✦ Table of Contents

Introduction
Contents
1 Model theory and groups
2 Independence and interpretable structures in nonabelian free groups
3 Quantifier elimination algorithm to boolean combination of ∃∀-formulas in the theory of a free group
4 Rich groups, weak second-order logic, and applications
5 Rigid solvable groups. Algebraic geometry and model theory
Index