Analyticity and Growth of Pro-p-Groups

  • A. Caranti
Part of the NATO ASI Series book series (ASIC, volume 333)


Our subject are the algebraic properties of p-adic analytic groups. We present first the theory of finite and pro-finite powerful p-groups, as developed by Lubotzky and Mann. Then we show, following work by Lubotzky, Mann and Segal, how this theory, and previous results of Lubotzky characterizing linear groups, can be applied to the study of residually finite groups of finite (Prüfer) rank. Finally, we present some recent work of Lubotzky, Mann, Segal and Du Sautoy related to polynomial subgroup growth.


Normal Subgroup Sylow Subgroup Finite Index Finite Rank Open Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • A. Caranti
    • 1
  1. 1.Dipartimento di MatematicaUniversità degli Studi di TrentoPovo (Trento)Italy

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