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 current knowledge in the field.
Produkteigenschaften
- Artikelnummer: 9780521598392
- Medium: Buch
- ISBN: 978-0-521-59839-2
- Verlag: Cambridge University Press
- Erscheinungstermin: 15.03.2011
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2011
- Serie: London Mathematical Society Lecture Note Series
- Produktform: Kartoniert, Paperback
- Gewicht: 522 g
- Seiten: 319
- Format (B x H x T): 152 x 229 x 19 mm
- Ausgabetyp: Kein, Unbekannt
