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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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
1999
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| Edition: | Second edition |
| Series: | Cambridge studies in advanced mathematics
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| Subjects: | |
| 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