Tits Buildings and the Model Theory of Groups

ISBN-13: 9780521010634 / Angielski / Miękka / 2002 / 310 str.

Katrin Tent; J. W. S. Cassels; N. J. Hitchin

Opis

This volume contains selected papers from the international conference Tits Buildings and the Model Theory of Groups, held in WUrzburg 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.

Spis treści

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.