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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wagner, Frank O. (Frank Olaf), 1964-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Cambridge University Press, 1997.
Colección:London Mathematical Society lecture note series ; 240.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Wagner, Frank O.  |q (Frank Olaf),  |d 1964- 
245 1 0 |a Stable groups /  |c Frank O. Wagner. 
260 |a New York :  |b Cambridge University Press,  |c 1997. 
300 |a 1 online resource (ix, 309 pages) 
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490 1 |a London Mathematical Society lecture notes series ;  |v 240 
504 |a Includes bibliographical references and index. 
505 0 |a Groups & Gist: Preface -- Groups & Gratitude: Acknowledgements -- 0. Groups & Goals -- 1. Groups & Generality -- 2. Groups & Genericity -- 3. Groups & Grandeur -- 4. Groups & Geometry -- 5. Groups & Grades -- Groups & Glory: References -- Groups & Gobbledegook: Index. 
588 0 |a Print version record. 
546 |a English. 
520 |a 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. 
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650 0 |a Group theory. 
650 0 |a Model theory. 
650 0 |a Geometry, Algebraic. 
650 6 |a Théorie des groupes. 
650 6 |a Théorie des modèles. 
650 6 |a Géométrie algébrique. 
650 7 |a MATHEMATICS  |x Group Theory.  |2 bisacsh 
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650 7 |a Group theory.  |2 fast  |0 (OCoLC)fst00948521 
650 7 |a Model theory.  |2 fast  |0 (OCoLC)fst01024368 
650 7 |a Gruppentheorie  |2 gnd 
650 7 |a Modelltheorie  |2 gnd 
650 7 |a Algebraische Geometrie  |2 gnd 
650 1 7 |a Groepentheorie.  |2 gtt 
650 1 7 |a Modeltheorie.  |2 gtt 
650 1 7 |a Algebraïsche meetkunde.  |2 gtt 
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650 7 |a Modèles  |x Théorie des.  |2 ram 
650 7 |a Géométrie algébrique.  |2 ram 
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830 0 |a London Mathematical Society lecture note series ;  |v 240. 
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