Stable groups
著者
書誌事項
Stable groups
（London Mathematical Society lecture note series, 240）
Cambridge University Press, 1997
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 1. Groups and goals
- 2. Groups and generality
- 3. Groups and genericity
- 4. Groups and grandeur
- 5. Groups and geometry
- 6. Groups and grades
- Bibliography.
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