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Book 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.

Book details

Book category Books in English Mathematics & science Mathematics Groups & group theory

• Full title: Analytic Pro-P Groups
• Author: J. D. DixonM. P. F. Du SautoyA. MannD. Segal
• Language: English
• Binding: Paperback
• Number of pages: 388
• EAN: 9780521542180
• ISBN: 0521542189
• ID: 02034458
• Publisher: Cambridge University Press
• Weight: 600 g
• Dimensions: 230 × 154 × 23 mm
• Date of publishing: 18. September 2003

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