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