F. Wagner

Stable Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 21. August 1997
• Englisch
• ISBN-13: 9781107108943
• Artikelnr.: 39262203

Inhaltsangabe

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.