Stable Groups
1st Edition
Published on 28. May 2013
978-1-107-10894-3 (ISBN)
Description
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.
Reviews / Votes
' ... a valuable addition to the model-theoretic literature'. Dugald MacPherson, Bulletin of the London Mathematical Society 'This book presents the state-of-the-art of the field ...' Zentralblatt fuer Mathematik und ihre Grenzgebiete '... an original contribution to the theory.' A. Baudisch, Niew Archief voor WiskundeMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
File size
19,42 MB
ISBN-13
978-1-107-10894-3 (9781107108943)
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Schweitzer Classification
Other editions
Additional editions
Person
Content
1. Groups and goals; 2. Groups and generality; 3. Groups and genericity; 4. Groups and grandeur; 5. Groups and geometry; 6. Groups and grades; Bibliography.
