Words and pronilpotent subgroups in profinite groups

Khukhro, E. I. and Shumyatsky, P. (2013) Words and pronilpotent subgroups in profinite groups. [MIMS Preprint]

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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.

Item Type: MIMS Preprint
Uncontrolled Keywords: Profinite groups, locally finite, commutator, pronilpotent, periodic
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Professor Evgeny Khukhro
Date Deposited: 10 Dec 2013
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/2081

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