July 7, 2024Open Access

Finitely generated infinite torsion groups that are residually finite simple

Puntos clave

Los puntos clave no están disponibles para este artículo en este momento.

Resumen

We show that every finitely generated residually finite torsion group G 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.

Leer artículo completoexternamente

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo

Cite This Study

Eduard Schesler (Sun,) studied this question.

synapsesocial.com/papers/68e6128fb6db6435875a52d9 https://doi.org/https://doi.org/10.48550/arxiv.2407.05533

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1A simple construction of finitely generated infinite torsion groups2024 · 1 citations
2Hereditarily just-infinite torsion groups with positive first $$\ell ^2$$-Betti number2026
3Infinitely presented simple groups separated by homological finiteness properties2025
4Restricted-finite groups with some applications in group rings2024
5Finitely generated simple sharply 2-transitive groups2024 · 1 citations

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo