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arXiv · 2407.05533

Finitely generated infinite torsion groups that are residually finite simple

Eduard Schesler
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Abstract

We show that every finitely generated residually finite torsion group $G$ embeds in a finitely generated torsion group $\Gamma$ 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.

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Eduard Schesler. 2024-07-08. Finitely generated infinite torsion groups that are residually finite simple. https://arxiv.org/abs/2407.05533

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