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Whitehead Groups of Finite Groups

Whitehead Groups of Finite Groups

Whitehead Groups of Finite Groups

Robert Oliver
April 1988
Available
Paperback
9780521336468
AUD$119.95
exc GST
Paperback
USD
eBook

    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.

    Product details

    April 1988
    Paperback
    9780521336468
    360 pages
    228 × 152 × 21 mm
    0.509kg
    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