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Wagner

Stable Groups

Medium: Buch
ISBN: 978-0-521-59839-2
Verlag: Cambridge University Press
Erscheinungstermin: 15.03.2011
Lieferfrist: bis zu 10 Tage

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
Autoren/Hrsg.

Autoren

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.