Book contents
- Frontmatter
- Contents
- Preface
- List of speakers and talks
- Basics on buildings
- An introduction to generalized polygons
- Buildings and classical groups
- Twin buildings
- Twin trees and twin buildings
- Simple groups of finite Morley rank of even type
- BN-pairs and groups of finite Morley rank
- CM-trivial stable groups
- Amalgames de Hrushovski: Une tentative de classification
- Rank and homogeneous structures
- Constructions of semilinear towers of Steiner systems
- Introduction to the Lascar Group
Preface
Published online by Cambridge University Press: 12 January 2010
- Frontmatter
- Contents
- Preface
- List of speakers and talks
- Basics on buildings
- An introduction to generalized polygons
- Buildings and classical groups
- Twin buildings
- Twin trees and twin buildings
- Simple groups of finite Morley rank of even type
- BN-pairs and groups of finite Morley rank
- CM-trivial stable groups
- Amalgames de Hrushovski: Une tentative de classification
- Rank and homogeneous structures
- Constructions of semilinear towers of Steiner systems
- Introduction to the Lascar Group
Summary
One off-spring of the happy marriage of algebra and geometry is the close liasion between groups and Tits buildings. Recently, this connection has acquired a logic angle by injecting a dose of model theory. Groups, on the other hand, have always been a central topic in model theory, and so the connection to geometry and Tits buildings is not entirely surprising. The workshop on Tits buildings and the model theory groups held in Würzburg, Germany, in September 2000, brought together for the first time a number of specialists from both sides, incidence geometry and model theory, with the interest to learn from each other. Hence, speakers were encouraged to give introductory talks to their area accdessible also to ‘the other side’. The conference started with an introduction to Tits buildings and continued with introduction to special cases of these buildings, generalized polygons, twin buildings and twin trees. To supply examples, one session explained the terminology in the context of the classical groups. These talks were hoped to be helpful for logicians working on the model theory of groups.
On the other hand, many of the geometric concepts used turned out to be in the range of model theory of first order structures, and so, model theoretic constructions have produced useful examples and counterexamples in geometry. A number of talks were thus concerned with different variations of Hrushovski-like constructions.
- Type
- Chapter
- Information
- Tits Buildings and the Model Theory of Groups , pp. vi - viiiPublisher: Cambridge University PressPrint publication year: 2002