Analytic Pro-P Groups
Analytic Pro-P Groups
M. P. F. Du Sautoy , University of Cambridge
A. Mann , Hebrew University of Jerusalem
D. Segal , University of Oxford
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$86.00
USDThe 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.
- Second edition of classic book
- Topic of much interest
- Authors well known
Product details
February 2011Adobe eBook Reader
9780511825514
0 pages
0kg
60 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Prelude
- Part I. Pro-p Groups:
- 1. Profinite groups and pro-p groups
- 2. Powerful p-groups
- 3. Pro-p groups of finite rank
- 4. Uniformly powerful groups
- 5. Automorphism groups
- Interlude A. Fascicule de resultats: pro-p groups of finite rank
- Part II. Analytic Groups:
- 6. Normed algebras
- 7. The group algebra
- Interlude B. Linearity criteria
- 8. P-adic analytic groups
- Interlude C. Finitely generated groups, p-adic analytic groups and Poincaré series
- 9. Lie theory
- Part III. Further Topics:
- 10. Pro-p groups of finite co-class
- 11. Dimension subgroup methods
- 12. Some graded algebras
- Interlude D. The Golod Shafarevic inequality
- Interlude E. Groups of sub-exponential growth
- 13. Analytic groups over pro-p rings.
