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Item Details
Title: ANALYTIC PRO-P GROUPS
By: John D. Dixon, M.P.F.Du Sautoy, A. Mann
Format: Paperback

List price: £64.00
Our price: £56.00
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ISBN 10: 0521542189
ISBN 13: 9780521542180
Availability: Usually dispatched within 1-3 weeks.
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 23 July, 2003
Edition: 2nd Revised edition
Series: Cambridge Studies in Advanced Mathematics No.61
Pages: 388
Description: An up-to-date treatment of analytic pro-p groups for graduate students and researchers.
Synopsis: The first edition of this book was the indispensable reference for researchers in the theory of pro-p groups. In this second edition the presentation has been improved and important new material has been added. The first part of the book is group-theoretic. It develops the theory of pro-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to develop any sophisticated analytic machinery. Part III, consisting of new material, takes the theory further. Among those topics discussed are the theory of pro-p groups of finite coclass, the dimension subgroup series, and its associated graded Lie algebra. The final chapter sketches a theory of analytic groups over pro-p rings other than the p-adic integers.
Illustrations: 60 exercises
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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