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Finite Group Theory

Finite Group Theory

2nd Edition


Part of Cambridge Studies in Advanced Mathematics

  • Date Published: September 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521786751

£ 43.99

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About the Authors
  • During the last 40 years the theory of finite groups has developed dramatically. The finite simple groups have been classified and are becoming better understood. Tools exist to reduce many questions about arbitrary finite groups to similar questions about simple groups. Since the classification there have been numerous applications of this theory in other branches of mathematics. Finite Group Theory develops the foundations of the theory of finite groups. It can serve as a text for a course on finite groups for students already exposed to a first course in algebra. It could supply the background necessary to begin reading journal articles in the field. For specialists it also provides a reference on the foundations of the subject. 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
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    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

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    Product details

    • Edition: 2nd Edition
    • Date Published: September 2000
    • format: Paperback
    • isbn: 9780521786751
    • length: 318 pages
    • dimensions: 228 x 153 x 18 mm
    • weight: 0.42kg
    • contains: 25 b/w illus.
    • availability: 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

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