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Item Details
Title: NEW HORIZONS IN PRO-P GROUPS
By: Marcus du Sautoy (Editor), Dan Segal (Editor), Aner Shalev (Editor)
Format: Hardback

List price: £133.00


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ISBN 10: 0817641718
ISBN 13: 9780817641719
Publisher: BIRKHAUSER BOSTON INC
Pub. date: 25 May, 2000
Series: Progress in Mathematics 184
Pages: 426
Description: Emphasizing on the construction and examination of many classes of examples, this book presents a clear picture of the rich universe of pro-p groups, in its unity and diversity. It discusses thirty open problems in the appendix. It is suitable for graduate students and researchers in group theory, number theory, and algebra.
Synopsis: A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis- covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Illustrations: biography
Publication: US
Imprint: Birkhauser Boston Inc
Returns: Returnable
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