| Analytic Pro-P Groups Revised Edition Contributor(s): Dixon, J. D. (Author), Du Sautoy, M. P. F. (Author), Mann, A. (Author) |
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ISBN: 0521542189 ISBN-13: 9780521542180 Publisher: Cambridge University Press OUR PRICE: $76.94 Product Type: Paperback - Other Formats Published: September 2003 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Geometry - General - Mathematics | Algebra - General |
| Dewey: 512.2 |
| Series: Cambridge Studies in Advanced Mathematics (Paperback) |
| Physical Information: 0.86" H x 6" W x 9" (1.25 lbs) 388 pages |