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Local Analysis for the Odd Order Theorem

Local Analysis for the Odd Order Theorem

$67.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: January 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521457163

$ 67.99 (C)

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About the Authors
  • In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify finite simple groups. This book presents a revision and expansion of the first half of the proof of the Feit-Thompson theorem. Simpler, more detailed proofs are provided for some intermediate theorems. Recent results are used to shorten other proofs.

    • The first exposition in book form of a famous mathematical result
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    Reviews & endorsements

    "This book reflects the modern improvements of the p-local analysis of a finite group to which the authors contributed greatly." E.M. Pal'chik, Mathematical Reviews

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    Product details

    • Date Published: January 1995
    • format: Paperback
    • isbn: 9780521457163
    • length: 188 pages
    • dimensions: 229 x 152 x 11 mm
    • weight: 0.28kg
    • availability: Available
  • Table of Contents

    Part I. Preliminary Results:
    1. Notation and elementary properties of solvable groups
    2. General results on representations
    3. Actions of Frobenius groups and related results
    4. p-Groups of small rank
    5. Narrow p-groups
    6. Additional results
    Part II. The Uniqueness Theorem:
    7. The transitivity theorem
    8. The fitting subgroup of a maximal subgroup
    9. The uniqueness theorem
    Part III. Maximal Subgroups:
    10. The subgroups Ma and Me
    11. Exceptional maximal subgroups
    12. The subgroup E
    13. Prime action
    Part IV. The Family of All Maximal Subgroups of G:
    14. Maximal subgroups of type p and counting arguments
    15. The subgroup Mf
    16. The main results
    Prerequisites and p-stability.

  • Authors

    Helmut Bender, Christian-Albrechts Universität zu Kiel, Germany

    George Glauberman, University of Chicago

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