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Whitehead Groups of Finite Groups : London Mathematical Society Lecture Note Series - Robert Oliver

Whitehead Groups of Finite Groups

London Mathematical Society Lecture Note Series

Paperback

Published: 25th April 1988
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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.

General Theory
Basic algebraic background
Structure theorems for K, of orders
Continuous K2 and localization sequences
The congruence subgroup problem
First applications of the congruence subgroup problem
The integral p-adic logarithm
Group rings of p-groups
The torsion subgroup of Whitehead groups
The p-adic quotient of SK,(Z[G]): p-groups
Cl1(Z[C]) for p-groups
The torsion free part of Wh(G)
General finite groups
A quick survey of induction theory
The p-adic quotient of SK1(Z[G]): finite groups
CI1(Z[G]) for finite groups
Examples
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521336468
ISBN-10: 0521336465
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 360
Published: 25th April 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.0
Weight (kg): 0.53