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OverviewThe coclass project (1980-1994) provided a new and powerful way to classify finite p-groups. This monograph gives a coherent account of the thinking from which the philosophy that lead to this classification developed. The authors provide a careful summary and explanation of the many and difficult original research papers on the coclass conjecture and the structure theorem, thus elucidating the background research for those new to the area as well as for experienced researchers. The classification philosophy has lead to many new and challenging problems. Amongst those considered are problems about pro-p-groups, the Grigorchuk group, the Nottingham group as well as linear pro-p-groups. Throughout the book the authors have used a wide range of algebraic techniques and have developed from first principles, or from basic and well known results, the cohomology of groups, spectral sequences, and representation theory. This comprehensive and long-awaited survey of the recent and current research on the structure of finite p-groups will be an important reference for all group theorists. Full Product DetailsAuthor: C.R. Leedham-Green (, Professor of Pure Mathematics, Queen Mary, University of London) , S. McKay (, Lecturer, School of Mathematical Sciences, Queen Mary, University of London)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 27 Dimensions: Width: 16.20cm , Height: 2.40cm , Length: 24.20cm Weight: 0.610kg ISBN: 9780198535485ISBN 10: 0198535481 Pages: 346 Publication Date: 18 July 2002 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1: Preliminaries 2: New groups from old 3: p-groups of maximal class 4: Finite p-groups acting uniserially 5: Lie Methods 6: The proof of Conjecture A 7: Pro-p-groups 8: Constructing finite p-groups 9: Homological algebra 10: Uniserial p-adic space groups 11: The structure of finite p-groups 12: Beyond coclass Bibliography Symbol index indexReviews... there is considerable new material in this book ... The book is beautifully produced - a pleasure to the eyes, as well as to the mind, to read. Zentralblatt MATH ... there is considerable new material in this book ... The book is beautifully produced - a pleasure to the eyes, as well as to the mind, to read. * Zentralblatt MATH * Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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