Stable groups / Frank O. Wagner.

Format:

Book

Author/Creator:

Wagner, Frank O. (Frank Olaf), 1964- author.

Series:

London Mathematical Society lecture note series ; 240.

London Mathematical Society lecture note series ; 240

Language:

English

Subjects (All):

Group theory.

Model theory.

Geometry, Algebraic.

Physical Description:

1 online resource (ix, 309 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1997.

Language Note:

English

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.

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88539-1

1-107-10094-1

1-107-10335-5

1-107-09528-X

1-107-08908-5

1-107-09203-5

0-511-56608-5