Divergence functions of higher-dimensional Thompson's groups
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912173154893824 |
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| author | Kodama, Yuya |
| author_facet | Kodama, Yuya |
| contents | We prove that higher-dimensional Thompson's groups have linear divergence functions. By the work of Druţu, Mozes, and Sapir, this implies none of the asymptotic cones of $nV$ has a cut-point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19923 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Divergence functions of higher-dimensional Thompson's groups Kodama, Yuya Group Theory 20F65 We prove that higher-dimensional Thompson's groups have linear divergence functions. By the work of Druţu, Mozes, and Sapir, this implies none of the asymptotic cones of $nV$ has a cut-point. |
| title | Divergence functions of higher-dimensional Thompson's groups |
| topic | Group Theory 20F65 |
| url | https://arxiv.org/abs/2405.19923 |