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Stable Groups

Stable Groups

Part of London Mathematical Society Lecture Note Series

  • Date Published: October 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521598392

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  • 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.

    • Self-contained treatment
    • Up-to-date research
    • Topical subject matter
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    Reviews & endorsements

    ' … a valuable addition to the model-theoretic literature'. Dugald MacPherson, Bulletin of the London Mathematical Society

    'This book presents the state-of-the-art of the field …' Zentralblatt für Mathematik und ihre Grenzgebiete

    '… an original contribution to the theory.' A. Baudisch, Niew Archief voor Wiskunde

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    Product details

    • Date Published: October 1997
    • format: Paperback
    • isbn: 9780521598392
    • length: 320 pages
    • dimensions: 229 x 152 x 18 mm
    • weight: 0.47kg
    • availability: Available
  • Table of Contents

    1. Groups and goals
    2. Groups and generality
    3. Groups and genericity
    4. Groups and grandeur
    5. Groups and geometry
    6. Groups and grades
    Bibliography.

  • Resources for

    Stable Groups

    F. Wagner

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  • Author

    F. Wagner, University of Oxford

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