On conciseness of words in profinite groups
Group Theory
2016-10-20 v1
Abstract
Let w be a group word. It is conjectured that if w has only countably many values in a profinite group G, then the verbal subgroup w(G) is finite. In the present paper we confirm the conjecture in the cases where w is a multilinear commutator word, or the word x^2, or the word [x^2,y].
Cite
@article{arxiv.1507.03362,
title = {On conciseness of words in profinite groups},
author = {Eloisa Detomi and Marta Morigi and Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1507.03362},
year = {2016}
}