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...
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| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1997
|
| Series: | London Mathematical Society lecture note series
240 |
| Links: | https://doi.org/10.1017/CBO9780511566080 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (ix, 309 Seiten) |
| ISBN: | 9780511566080 |
Staff View
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| spelling | Wagner, Frank O. 1964- Stable groups Frank O. Wagner Cambridge Cambridge University Press 1997 1 Online-Ressource (ix, 309 Seiten) txt c cr London Mathematical Society lecture note series 240 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. Erscheint auch als Druck-Ausgabe 9780521598392 |
| spellingShingle | Wagner, Frank O. 1964- Stable groups |
| title | Stable groups |
| title_auth | Stable groups |
| title_exact_search | Stable groups |
| title_full | Stable groups Frank O. Wagner |
| title_fullStr | Stable groups Frank O. Wagner |
| title_full_unstemmed | Stable groups Frank O. Wagner |
| title_short | Stable groups |
| title_sort | stable groups |
| work_keys_str_mv | AT wagnerfranko stablegroups |