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Description - Analytic Pro-P Groups by John D. Dixon

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.

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Book Details

ISBN: 9780521542180
ISBN-10: 0521542189
Format: Paperback
(228mm x 152mm x 22mm)
Pages: 388
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 23-Jul-2003
Country of Publication: United Kingdom

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