On verbal subgroups in finite and profinite groups
Group Theory
2017-03-06 v1
Abstract
Let be a multilinear commutator word. In the present paper we describe recent results that show that if is a profinite group in which all -values are contained in a union of finitely (or in some cases countably) many subgroups with a prescribed property, then the verbal subgroup has the same property as well. In particular, we show this in the case where the subgroups are periodic or of finite rank.
Cite
@article{arxiv.1703.00979,
title = {On verbal subgroups in finite and profinite groups},
author = {Cristina Acciarri and Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1703.00979},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1112.5879