Stable Groups

di F. Wagner (Autore)

Cambridge University Press, 1997

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.

• Autore: F. Wagner
• Editore: Cambridge University Press
• Collana: London Mathematical Society Lecture Note Series
• Anno: 1997
• Rilegatura: Paperback / softback
• Pagine: 320 p.
• Dimensioni: 229 x 152 mm
• Peso: 470 gr.
• EAN: 9780521598392

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