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Tits Buildings and the Model Theory of Groups
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Tits Buildings and the Model Theory of Groups

Tits Buildings and the Model Theory of Groups

Katrin Tent

298 pages, parution le 15/03/2002

Résumé

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.

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.

Caractéristiques techniques

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) Katrin Tent
Parution 15/03/2002
Nb. de pages 298
Format 15 x 22,5
Couverture Broché
Poids 434g
Intérieur Noir et Blanc
EAN13 9780521010634
ISBN13 978-0-521-01063-4

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