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Stable Groups by F. Wagner
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Stable Groups

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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 current knowledge in the field.
Release date NZ
August 21st, 1997
Author
Audience
  • Professional & Vocational
Pages
320
Dimensions
152x229x18
ISBN-13
9780521598392
Product ID
1771023

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Books >
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Non-Fiction >
Maths & Science >
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Groups & group theory