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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Mathematical foundations

• Full title: Stable Groups
• Author: F. Wagner
• Language: English
• Binding: Paperback
• Number of pages: 320
• EAN: 9780521598392
• ISBN: 0521598397
• ID: 02036915
• Publisher: Cambridge University Press
• Weight: 435 g
• Dimensions: 229 × 152 × 18 mm
• Date of publishing: 21. August 1997

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