Groups, Geometry, and Dynamics

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Volume 1, Issue 4, 2007, pp. 661–668
DOI: 10.4171/GGD/28

Published online: 2007-12-31

Variations on a theme of Burns and Medvedev

Dan Segal[1]

(1) University of Oxford, United Kingdom

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.

Keywords: Relatively free groups, profinite groups

Segal Dan: Variations on a theme of Burns and Medvedev. Groups Geom. Dyn. 1 (2007), 661-668. doi: 10.4171/GGD/28