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.
Cite this article
Dan Segal, Variations on a theme of Burns and Medvedev. Groups Geom. Dyn. 1 (2007), no. 4, pp. 661–668DOI 10.4171/GGD/28