Finitely generated infinite torsion groups that are residually finite simple

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-07-21 DOI:10.1016/j.aim.2025.110441

Eduard Schesler

引用次数: 0

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.

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有限生成的剩余有限简单的无限扭转群

我们证明了每一个可数剩余有限扭转群G嵌入到一个有限生成的剩余有限简单扭转群Γ中。特别地，我们证明了有限生成无限扭转群的存在性，这些群是剩余有限简单的，这回答了Olshanskii和Osin的一个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.