Words and pronilpotent subgroups in profinite groups
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.
- Pub Date:
- December 2013
- Mathematics - Group Theory;
- a couple of typos corrected