Groups, Geometry, and Dynamics
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Published online: 2007-12-31
Variations on a theme of Burns and MedvedevDan Segal (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