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Whitehead Groups of Finite Groups

Part of London Mathematical Society Lecture Note Series

  • Date Published: February 1988
  • availability: Available
  • format: Paperback
  • isbn: 9780521336468


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About the Authors
  • This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the field, its history and its applications. The rest of the book consists of three parts: general theory, group rings of p-groups and general finite groups. The book will be welcomed by specialists in K- and L-theory and by algebraists in general as a state-of-the art survey of the area.

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    Product details

    • Date Published: February 1988
    • format: Paperback
    • isbn: 9780521336468
    • length: 360 pages
    • dimensions: 228 x 152 x 21 mm
    • weight: 0.509kg
    • availability: Available
  • Table of Contents

    Part I. General Theory:
    1. Basic algebraic background
    2. Structure theorems for K, of orders
    3. Continuous K2 and localization sequences
    4. The congruence subgroup problem
    5. First applications of the congruence subgroup problem
    6. The integral p-adic logarithm
    Part II. Group rings of p-groups:
    7. The torsion subgroup of Whitehead groups
    Chapter 8. The p-adic quotient of SK,(Z[G]): p-groups
    9. Cl1(Z[C]) for p-groups
    10. The torsion free part of Wh(G)
    Part III. General finite groups:
    11. A quick survey of induction theory
    12. The p-adic quotient of SK1(Z[G]): finite groups
    13. CI1(Z[G]) for finite groups
    14. Examples.

  • Author

    Robert Oliver

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