Aritmethic lattices of $\SO(1,n)$ and units of group rings
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916653994868736 |
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| author | Chagas, Sheila del Río, Ángel Zalesskii, Pavel |
| author_facet | Chagas, Sheila del Río, Ángel Zalesskii, Pavel |
| contents | We establish that standard arithmetic subgroups of a special orthogonal group ${\rm SO}(1,n)$ are conjugacy separable. As an application we deduce this property for unit groups of certain integer group rings. We also prove that finite quotients of group of units of any of these group rings determines the original group ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09375 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Aritmethic lattices of $\SO(1,n)$ and units of group rings Chagas, Sheila del Río, Ángel Zalesskii, Pavel Group Theory 20E26, 20C05, 16S34, 11E57 We establish that standard arithmetic subgroups of a special orthogonal group ${\rm SO}(1,n)$ are conjugacy separable. As an application we deduce this property for unit groups of certain integer group rings. We also prove that finite quotients of group of units of any of these group rings determines the original group ring. |
| title | Aritmethic lattices of $\SO(1,n)$ and units of group rings |
| topic | Group Theory 20E26, 20C05, 16S34, 11E57 |
| url | https://arxiv.org/abs/2302.09375 |