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Analytic Pro-P Groups by J. D. Dixon

Analytic Pro-P Groups

by J. D. Dixon , M. P. F. Du Sautoy , A. Mann
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Book cover type: Paperback
  • ISBN13: 9780521542180
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 388
  • Original Price: GBP 64.0
  • Language: English
  • Edition: Revised Edition
  • Item Weight: 567 grams
  • BISAC Subject(s): Group Theory

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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