Stable Groups
Overview
The study of stable groups connects model theory, algebraic geometry and group theory. It analyzes groups that possess a certain general dependence relation 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 current knowledge in the field.
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Details
- ISBN-13: 9780521598392
- ISBN-10: 0521598397
- Publisher: Cambridge University Press
- Publish Date: August 1997
- Dimensions: 8.8 x 5.9 x 0.7 inches
- Shipping Weight: 0.95 pounds
- Page Count: 320
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