Analytic Pro-P Groups

ISBN: 9780521542180 出版年：1999 页码：388 J D Dixon M P F Du Sautoy A Mann D Segal Cambridge University Press

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 Poincare 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.