Tits buildings and the model theory of groups / edited by Katrin Tent.

Format:

Book

Contributor:

Tent, Katrin, 1963- editor.

Series:

London Mathematical Society lecture note series ; 291.

London Mathematical Society lecture note series ; 291

Language:

English

Subjects (All):

Buildings (Group theory).

Group theory.

Physical Description:

1 online resource (x, 298 pages) : digital, PDF file(s).

Other Title:

Tits Buildings & the Model Theory of Groups

Place of Publication:

Cambridge : Cambridge University Press, 2002.

Language Note:

English

Summary:

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:

Basics on buildings / Theo Grundhöfer

An introduction to generalized polygons / Hendrik Van Maldeghem

Buildings and classical groups / Linus Kramer

Twin buildings / Bernhard Mühlherr

Twin trees and twin buildings / Mark Ronan

Simple groups of finite Morley rank of even type / Tuna Altinel

BN-pairs and groups of finite Morley rank / Katrin Tent

CM-trivial stable groups / Andreas Baudisch

Amalgames de Hrushoski : une tentative de classification / Bruno Poizat

Rank and homogeneous structures / John Baldwin

Constructions of semilinear towers of Steiner systems / Keith Johnson

Introduction to the Lascar group / Martin Ziegler.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88143-4

1-107-36567-8

1-107-37041-8

1-107-36076-5

1-107-37016-7

1-299-40349-2

1-107-36321-7

0-511-54978-4