Whitehead Groups of Finite Groups

by Robert Oliver

Overview

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

ISBN-13:	9780521336468
Publisher:	Cambridge University Press
Publication date:	02/25/1988
Series:	London Mathematical Society Lecture Note Series , #132
Pages:	360
Product dimensions:	5.98(w) x 8.98(h) x 0.83(d)

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.