Tits Buildings and the Model Theory of Groups

by Katrin Tent

Overview

This volume contains selected papers from the international conference Tits Buildings and the Model Theory of Groups, held in Wúrzburg in 2000. The first part provides a general introduction to many aspects of buildings and their geometries, based on short lecture courses given at the conference. The rest of the book comprises survey and research articles on model theoretic results and techniques. Amalgamation constructions a la Hrushovski are explained and classified, as they are important techniques both in model theory and geometry. The articles demonstrate the close connection between geometry, group theory, and model theory.

Product Details

ISBN-13:	9780521010634
Publisher:	Cambridge University Press
Publication date:	01/03/2002
Series:	London Mathematical Society Lecture Note Series , #291
Pages:	310
Product dimensions:	6.02(w) x 8.98(h) x 0.71(d)

Table of Contents

Preface; 1. Basics on buildings Theo Grundhöfer; 2. An introduction to generalized polygons Hendrik Van Maldeghem; 3. Buildings and classical groups Linus Kramer; 4. Twin buildings Bernhard Mühlherr; 5. Twin trees and twin buildings Mark Ronan; 6. Simple groups of finite Morley rank of even type Tuna Altinel; 7. BN-pairs and groups of finite Morley rank Katrin Tent; 8. CM-trivial stable groups Andreas Baudisch; 9. Amalgames de Hrushovski Bruno Poizat; 10. Rank and homogeneous structures John T. Baldwin; 11. Constructions of semilinear towers of Steiner systems Keith Johnson; 12. Introduction to the Lascar group Martin Ziegler.

Editorial Reviews

Contains 12 papers written by researchers from the US, UK, and Western Europe who attended the conference after which the volume is named, held in Würtzburg in 2000. The first part of the book provides a general introduction to many aspects of buildings and their geometries based on short lecture courses given at the conference. The remainder of the volume presents survey and research articles on model theoretic results and techniques. Includes an article written in French. Suitable for graduate students and researchers working in geometry, group theory, and model theory. Annotation c. Book News, Inc., Portland, OR (booknews.com)