Finitely generated infinite torsion groups that are residually finite simple
Group Theory
2024-07-09 v1
Abstract
We show that every finitely generated residually finite torsion group embeds in a finitely generated torsion group that is residually finite simple. In particular we show the existence of finitely generated infinite torsion groups that are residually finite simple, which answers a question of Olshanskii and Osin.
Cite
@article{arxiv.2407.05533,
title = {Finitely generated infinite torsion groups that are residually finite simple},
author = {Eduard Schesler},
journal= {arXiv preprint arXiv:2407.05533},
year = {2024}
}
Comments
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