Variations on a theme of Burns and Medvedev
Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 661-668
Voir la notice de l'article provenant de la source EMS Press
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.
Classification :
20-XX, 00-XX
Mots-clés : Relatively free groups, profinite groups
Mots-clés : Relatively free groups, profinite groups
Affiliations des auteurs :
Dan Segal  1
Dan Segal. Variations on a theme of Burns and Medvedev. Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 661-668. doi: 10.4171/ggd/28
@article{10_4171_ggd_28,
author = {Dan Segal},
title = {Variations on a theme of {Burns} and {Medvedev}},
journal = {Groups, geometry, and dynamics},
pages = {661--668},
year = {2007},
volume = {1},
number = {4},
doi = {10.4171/ggd/28},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/28/}
}
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