Finitely generated infinite torsion groups that are residually finite simple

2024/07/08 by Eduard Schesler, Schesler, Eduard
Mathematics · #20E26 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2407.05533

openalex publication_date 2024/07/08 · openalex created_date 2024/07/10 · openalex updated_date 2026/07/28

Abstract

We show that every finitely generated residually finite torsion group G embeds in a finitely generated torsion group Γ 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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