Stable Groups (London Mathematical Society Lecture Note Series)

By F. Wagner

Book Overview

The study of stable groups connects model theory, algebraic geometry and group theory. It analyses groups which possess a certain very general dependence relation (Shelah's notion of 'forking'), and tries to derive structural properties from this. These may be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a group as an algebraic group), or model-theoretic (description of the definable sets). In this book, the general theory of stable groups is developed from the beginning (including a chapter on preliminaries in group theory and model theory), concentrating on the model- and group-theoretic aspects. It brings together the various extensions of the original finite rank theory under a unified perspective and provides a coherent exposition of the knowledge in the field.

• Format: Paperback
• Language: English
• ISBN: 0521598397
• ISBN13: 9780521598392
• Release Date: August 1997
• Publisher: Cambridge University Press
• Length: 320 Pages
• Weight: 0.95 lbs.
• Dimensions: 0.7" x 5.9" x 8.8"