Whitehead Groups of Finite Groups
Whitehead Groups of Finite Groups
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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 1988Paperback
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.
