Words and pronilpotent subgroups in profinite groups

Khukhro, E. I. and Shumyatsky, P. (2014) Words and pronilpotent subgroups in profinite groups. Journal of the Australian Mathematical Society, 97 (3). pp. 343-364. ISSN 1446-7887

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Words and pronilpotent subgroups in profinite groups

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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.

Keywords:Profinite groups, Locally finite, Commutator, Pronilpotent, periodic, NotOAChecked
Subjects:G Mathematical and Computer Sciences > G100 Mathematics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:15572
Deposited On:27 Oct 2014 12:21

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