Analytic Pro-P Groups: 2nd Edition (Cambridge Studies in Advanced Mathematics, Series Number 61) - Hardcover

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

Hardcover

ISBN 10: 0521650119 ISBN 13: 9780521650113

Publisher: Cambridge University Press, 1999

Synopsis

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.

About this title

Book Description

The theory of p-adic analytic pro-p groups has undergone significant development since the seminal work of Lazard. This book presents a complete and self-contained account of this theory, which has applications in both group theory and number theory. This up-to-date second edition incorporates many important new results.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1999
• Language: English
• ISBN 10: 0521650119
• ISBN 13: 9780521650113
• Binding: Hardcover
• Edition number: 2
• Number of pages: 386