Analytic Pro-P Groups by J D Dixon

Analytic Pro-P Groups by J D Dixon

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Summary

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.

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Analytic Pro-P Groups by J D Dixon

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.
SKU Unavailable
ISBN 13 9780521542180
ISBN 10 0521542189
Title Analytic Pro-P Groups
Author J D Dixon
Series Cambridge Studies In Advanced Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2003-09-18
Number of pages 388
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable