Tits Buildings and the Model Theory of Groups

Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.

Katrin Tent (Edited by)

9780521010634, Cambridge University Press

Paperback, published 3 January 2002

310 pages, 8 b/w illus. 1 table
22.8 x 15.3 x 1.8 cm, 0.434 kg

This volume contains selected papers by leading researchers from the international conference entitled Tits Buildings and the Model Theory of Groups, held in Würzburg 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 rest of the book comprises survey and research articles on model theoretic results and techniques, showing the vitality and richness of these branches of mathematics. Among the most fruitful techniques, amalgamation constructions à la Hrushovski are explained and classified as they continue to play an important role both in model theory and geometry. The articles succeed in demonstrating the close connection between geometry, group theory and model theory. The book will be invaluable to graduate students as well as experienced researchers working in these areas of mathematics.

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.

Subject Areas: Algebra [PBF], Mathematical foundations [PBC]