Simple groups with infinite verbal width and the same positive theory as free groups
Group Theory
2019-11-07 v1
Abstract
In this paper we show that there exists an uncountable family of finitely generated simple groups with the same positive theory as any non-abelian free group. In particular, these simple groups have infinite -verbal width for all non-trivial words .
Cite
@article{arxiv.1911.02117,
title = {Simple groups with infinite verbal width and the same positive theory as free groups},
author = {Montserrat Casals-Ruiz and Albert Garreta and Ilya Kazachkov and Javier de la Nuez González},
journal= {arXiv preprint arXiv:1911.02117},
year = {2019}
}