Whitehead Groups of Finite Groups [Paperback]

This book's aim is to make accessible techniques for studying Whitehead groups of finite groups.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.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.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.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.