Stable Groups(English, Paperback, Wagner F.)

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Stable Groups(English, Paperback, Wagner F.) is written by Wagner F. and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 0521598397 (ISBN 10) and 9780521598392 (ISBN 13).

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.