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Stable Groups - F. Wagner,Frank O. Wagner

English
2011-03-15
โ‚ฌ134.70 โ‚ฌ168.37

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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). I ... Full description

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Description

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.

More Information

Author F. Wagner, Frank O. Wagner
Publisher Cambridge University Press
Release year 2011
Cover type Softcover
EAN 9780521598392
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โ‚ฌ134.70 โ‚ฌ168.37