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Words and pronilpotent subgroups in profinite groups
Published 7 Dec 2013 in math.GR | (1312.2152v3)
Abstract: Let $w$ be a multilinear commutator word, that is, a commutator of weight $n$ in $n$ different group variables. It is proved that if $G$ is a profinite group in which all pronilpotent subgroups generated by $w$-values are periodic, then the verbal subgroup $w(G)$ is locally finite.
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