Skip to content
Register Sign in Wishlist
Analytic Pro-P Groups

Analytic Pro-P Groups

2nd Edition

$86.99

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: September 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521542180

$ 86.99
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an evaluation copy?

This title is not currently available for evaluation. However, if you are interested in the title for your course we can consider offering an evaluation copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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.

    • Second edition of classic book
    • Topic of much interest
    • Authors well known
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    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.

  • 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

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

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
Please note that this file is password protected. You will be asked to input your password on the next screen.

» 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 ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

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.

×
Please fill in the required fields in your feedback submission.
×