内容

目次

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. Uniformlypowerful groups; 5. Automorphism groups; Interlude A. Fascicule deresultats: 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 Poincare series; 9. Lie theory; Part III.Further Topics: 10. Pro-p groups of finite co-class; 11. Dimensionsubgroup methods; 12. Some graded algebras; Interlude D. The GolodShafarevic inequality; Interlude E. Groups of sub-exponential growth;13. Analytic groups over pro-p rings.