JournalsggdVol. 1 , No. 4DOI 10.4171/ggd/28

Variations on a theme of Burns and Medvedev

  • Dan Segal

    University of Oxford, United Kingdom
Variations on a theme of Burns and Medvedev cover

Abstract

Burns and Medvedev prove in [BM] that a relatively free pro-p group cannot be p-adic analytic unless it is virtually nilpotent. We present a shorter, more conceptual proof, and apply it to deduce analogous results for other categories of groups.