Stable groups:

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 (nilpote...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Beteilige Person: Wagner, Frank O. 1964-
Format: E-Book
Sprache:Englisch
Veröffentlicht: Cambridge Cambridge University Press 1997
Schriftenreihe:London Mathematical Society lecture note series 240
Links:https://doi.org/10.1017/CBO9780511566080
Zusammenfassung: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.
Umfang:1 Online-Ressource (ix, 309 Seiten)
ISBN:9780511566080