Analytic Pro-P Groups - Couverture rigide

Dixon, J. D.; Du Sautoy, M. P. F.; Mann, A.; Segal, D.

 
9780521650113: Analytic Pro-P Groups

Synopsis

An up-to-date treatment of analytic pro-p groups for graduate students and researchers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.