Finitely generated infinite torsion groups that are residually finite simple
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913420683509760 |
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| author | Schesler, Eduard |
| author_facet | Schesler, Eduard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05533 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finitely generated infinite torsion groups that are residually finite simple Schesler, Eduard Group Theory 20E26 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. |
| title | Finitely generated infinite torsion groups that are residually finite simple |
| topic | Group Theory 20E26 |
| url | https://arxiv.org/abs/2407.05533 |