
Analytic Pro-P Groups
by J. D. DixonB. Simon (Contribution by)M. P. F. Du SautoyA. MannD. SegalB. Bollobas (Contribution by)W. Fulton (Contribution by)A. Katok (Contribution by)F. Kirwan (Contribution by)P. Sarnak (Contribution by)
Format: Paperback
ISBN13: 9780521542180
Paperback|9780521542180
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Overview
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.
| ISBN-13 | 9780521542180 |
|---|---|
| ISBN-10 | 0521542189 |
| Weight | 1.32 Pounds |
| Dimensions | 6.00 x 0.97 x 9.00 In |
| List Price | $49.99 |
| Edition | 2nd Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | 388 pages |
| Publisher | Cambridge University Press |
| Published On | 2003-09-18 |
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