Analytic pro-p groups

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...

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Main Author: Dixon, John D.
Format: eBook
Published: Cambridge Cambridge University Press 1999
Edition:Second edition
Series:Cambridge studies in advanced mathematics
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Pt. 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
  • Pt. 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 Poincare series
  • 9. Lie theory
  • Pt. III. Further topics
  • 10. Pro-p groups of finite coclass
  • 11. Dimension subgroup methods
  • 12. Some graded algebras
  • Interlude D. The Golod-Shafarevich inequality
  • Interlude E. Groups of sub-exponential growth
  • 13. Analytic groups over pro-p rings
  • App. A. The Hall-Petrescu formula
  • App. B. Topological groups