Rotation groups virtually embed into right-angled rotation groups
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916796378906624 |
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| author | Genevois, Anthony |
| author_facet | Genevois, Anthony |
| contents | It is a theorem due to F. Haglund and D. Wise that reflection groups (aka Coxeter groups) virtually embed into right-angled reflection groups (aka right-angled Coxeter groups). In this article, we generalise this observation to rotation groups, which can be thought of as a common generalisation of Coxeter groups and graph products of groups. More precisely, we prove that rotation groups (aka periagroups) virtually embed into right-angled rotation groups (aka graph products of groups). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15652 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rotation groups virtually embed into right-angled rotation groups Genevois, Anthony Group Theory Metric Geometry 20F65, 20F55 It is a theorem due to F. Haglund and D. Wise that reflection groups (aka Coxeter groups) virtually embed into right-angled reflection groups (aka right-angled Coxeter groups). In this article, we generalise this observation to rotation groups, which can be thought of as a common generalisation of Coxeter groups and graph products of groups. More precisely, we prove that rotation groups (aka periagroups) virtually embed into right-angled rotation groups (aka graph products of groups). |
| title | Rotation groups virtually embed into right-angled rotation groups |
| topic | Group Theory Metric Geometry 20F65, 20F55 |
| url | https://arxiv.org/abs/2404.15652 |