Words and pronilpotent subgroups in profinite groups

E. I. Khukhro; P. Shumyatsky

Words and pronilpotent subgroups in profinite groups

Group Theory 2014-09-22 v3

Authors: E. I. Khukhro , P. Shumyatsky

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

finite group theory group theory sturmian words and combinatorics on words

Cite

@article{arxiv.1312.2152,
  title  = {Words and pronilpotent subgroups in profinite groups},
  author = {E. I. Khukhro and P. Shumyatsky},
  journal= {arXiv preprint arXiv:1312.2152},
  year   = {2014}
}

Comments

a couple of typos corrected

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