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Analytic Pro-P Groups. 2nd Revised edition.
・ISBN 978-0-521-54218-0 2003 paper GB£ 67.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-47088-2
| 著者・編者 | Dixon, J. D. / Du Sautoy, M. P. F. / Mann, A. / Segal, D., |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| ページ数 | 388 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2436＞ |
解説
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.