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Book Cover
E-book
Author Wagner, Frank O. (Frank Olaf), 1964-

Title Stable groups / Frank O. Wagner
Published New York : Cambridge University Press, 1997

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