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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.18410 |
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| _version_ | 1866911717561204736 |
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| author | Kojima, Sadayoshi Sheng, Xiaobing |
| author_facet | Kojima, Sadayoshi Sheng, Xiaobing |
| contents | We prove that the Brin-Thompson group $nV$ is torsion locally finite for $ n \geq 1$ which is known only when $n = 1$, and $nV$ contains continuum many copies of the additive group of the rationals $\mathbb{Q}$ for $n \geq 2$ which is known to be false for the $n = 1$ case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18410 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On subgroups of Brin-Thompson groups $nV$ Kojima, Sadayoshi Sheng, Xiaobing Group Theory Geometric Topology Primary 20F65, Secondary 20E07, 37B10 We prove that the Brin-Thompson group $nV$ is torsion locally finite for $ n \geq 1$ which is known only when $n = 1$, and $nV$ contains continuum many copies of the additive group of the rationals $\mathbb{Q}$ for $n \geq 2$ which is known to be false for the $n = 1$ case. |
| title | On subgroups of Brin-Thompson groups $nV$ |
| topic | Group Theory Geometric Topology Primary 20F65, Secondary 20E07, 37B10 |
| url | https://arxiv.org/abs/2603.18410 |