Analytic Pro-P Groups
2nd Edition
£61.99
Part of Cambridge Studies in Advanced Mathematics
- Authors:
- J. D. Dixon, Carleton University, Ottawa
- M. P. F. Du Sautoy, University of Cambridge
- A. Mann, Hebrew University of Jerusalem
- D. Segal, University of Oxford
- Date Published: September 2003
- availability: Available
- format: Paperback
- isbn: 9780521542180
£
61.99
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
Read more- Second edition of classic book
- Topic of much interest
- Authors well known
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: September 2003
- format: Paperback
- isbn: 9780521542180
- length: 388 pages
- dimensions: 230 x 154 x 23 mm
- weight: 0.6kg
- contains: 60 exercises
- availability: Available
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.
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×