Description |
1 online resource (ix, 309 pages) |
Series |
London Mathematical Society lecture notes series ; 240 |
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London Mathematical Society lecture note series ; 240.
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Contents |
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 |
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 |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
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Print version record |
Subject |
Group theory.
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Model theory.
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Geometry, Algebraic.
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MATHEMATICS -- Group Theory.
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Geometry, Algebraic
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Group theory
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Model theory
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Gruppentheorie
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Modelltheorie
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Algebraische Geometrie
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Groepentheorie.
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Modeltheorie.
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Algebraïsche meetkunde.
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Groupes -- Théorie des.
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Modèles -- Théorie des.
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Géométrie algébrique.
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Form |
Electronic book
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ISBN |
9781107089082 |
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1107089085 |
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9780511566080 |
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0511566085 |
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1299707165 |
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9781299707160 |
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