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Finite Group Theory

Finite Group Theory

Finite Group Theory

2nd Edition
M. Aschbacher, California Institute of Technology
July 2000
Available
Hardback
9780521781459
$147.00
USD
Hardback
USD
Paperback

    This second edition develops the foundations of finite group theory. For students already exposed to a first course in algebra, it serves as a text for a course on finite groups. For the reader with some mathematical sophistication but limited knowledge of finite group theory, the book supplies the basic background necessary to begin to read journal articles in the field. It also provides the specialist in finite group theory with a reference on the foundations of the subject. Unifying themes include the Classification Theorem and the classical linear groups. Lie theory appears in chapters on Coxeter groups, root systems, buildings, and Tits systems. This second edition has been considerably improved with a completely rewritten Chapter 15 considering the 2-Signalizer Functor Theorem, and the addition of an appendix containing solutions to exercises.

    • Book will be a nice companion to Aschbacher's Sporadic Groups - that is in production now

    Reviews & endorsements

    'I consider this book as an extremely valuable source and help for anyone interested in a serious study of finite groups.' U. Dempwolff, Zentralblatt MATH

    See more reviews

    Product details

    June 2000
    Paperback
    9780521786751
    318 pages
    228 × 153 × 18 mm
    0.42kg
    25 b/w illus.
    Available

    Table of Contents

    • 1. Preliminary results
    • 2. Permutation representations
    • 3. Representations of groups on groups
    • 4. Linear representations
    • 5. Permutation groups
    • 6. Extensions of groups and modules
    • 7. Spaces with forms
    • 8. p-Groups
    • 9. Change of field of a linear representation
    • 10. Presentations of groups
    • 11. The generalized Fitting subgroup
    • 12. Linear representations of finite groups
    • 13. Transfer and fusion
    • 14. The geometry of groups of Lie type
    • 15. Signalizer functors
    • 16. Finite simple groups.
      Author
    • M. Aschbacher , California Institute of Technology