Analytic Pro-P Groups

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Paperback | 18 September 2003 | Edition Number 2

At a Glance

Paperback
388 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 2.18

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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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Prelude
Pro-p Groups
Profinite groups and pro-p groups
Powerful p-groups
Pro-p groups of finite rank
Uniformly powerful groups
Automorphism groups
Interlude A
Analytic Groups
Normed algebras
The group algebra
Interlude B
P-adic analytic groups
Interlude C
Lie theory
Further Topics
Pro-p groups of finite co-class
Dimension subgroup methods
Some graded algebras
The Golod Shafarevic inequality
Groups of sub-exponential growth
Analytic groups over pro-p rings
Table of Contents provided by Publisher. All Rights Reserved.

Analytic Pro-P Groups

At a Glance

Paperback

Shipping

How to return your order

Defective items

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