Analytic Pro-P Groups (Cambridge Studies in Advanced Mathematics) - 2nd edition
Analytic Pro-P Groups (Cambridge Studies in Advanced Mathematics) - 2nd edition By J. D. Dixon, M. P. F. Du Sautoy, A. Mann, D. Segal
2003 | 388 Pages | ISBN: 0521542189 | DJVU | 12 MB
2003 | 388 Pages | ISBN: 0521542189 | DJVU | 12 MB
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.