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Tits Buildings and the Model Theory of Groups

Tits Buildings and the Model Theory of Groups

$70.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Editor: Katrin Tent, Bayerische-Julius-Maximilians-Universität Würzburg, Germany
Theo Grundhöfer, Hendrik Van Maldeghem, Linos Kramer, Bernhard Mühlherr, Mark Ronan, Tuna Altinel, Katrin Tent, Andreas Baudisch, Bruno Poizat, John T. Baldwin, Keith Johnson, Martin Ziegler
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  • Date Published: January 2002
  • availability: Available
  • format: Paperback
  • isbn: 9780521010634

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

    • Comprehensive introduction by leading experts
    • Presents surveys on the applications of construction methods in model theory and geometry
    • Brings together articles from both geometers and logicians
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    Product details

    • Date Published: January 2002
    • format: Paperback
    • isbn: 9780521010634
    • length: 310 pages
    • dimensions: 228 x 153 x 18 mm
    • weight: 0.434kg
    • contains: 8 b/w illus. 1 table
    • availability: Available
  • 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.

  • Editor

    Katrin Tent, Bayerische-Julius-Maximilians-Universität Würzburg, Germany

    Contributors

    Theo Grundhöfer, Hendrik Van Maldeghem, Linos Kramer, Bernhard Mühlherr, Mark Ronan, Tuna Altinel, Katrin Tent, Andreas Baudisch, Bruno Poizat, John T. Baldwin, Keith Johnson, Martin Ziegler

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