Finitely generated infinite torsion groups that are residually finite simple
Abstract:
We show that every countable 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.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 11.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 0001-8708, 1090-2082 KITopen-ID: 1000184639 |
| Erschienen in | Advances in Mathematics |
| Verlag | Elsevier |
| Band | 479 |
| Seiten | 110441 |
| Nachgewiesen in | Web of Science OpenAlex Scopus Dimensions |