Book Details
Format
Paperback / Softback
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
0521542189
ISBN-13
9780521542180
Edition
2 Revised edition
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 18th, 2003
Print length
388 Pages
Weight
600 grams
Dimensions
23.00 x 15.40 x 2.30 cms
Product Classification:
Groups & group theoryGroups and group theory
Ksh 12,050.00
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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.
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.
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