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Analytic Pro-P Groups

Name: Analytic Pro-P Groups
Brand: Cambridge University Press
SKU: 02034458
Price: 92.85 EUR
Availability: InStock
Author: J. D. DixonM. P. F. Du SautoyA. MannD. Segal
ISBN: 9780521542180

J. D. DixonM. P. F. Du SautoyA. MannD. Segal

Language

English

Book Paperback

Libristo code: 02034458

Publishers Cambridge University Press, September 2003

The first edition of this book was the indispensable reference for researchers in the theory of pro-... Full description

Libristo code: 02034458

226 b

92.85 €

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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.