CAT(0) property and hyperbolicity of affine cactus groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916058763362304 |
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| author | Hama, Takatoshi |
| author_facet | Hama, Takatoshi |
| contents | We show that the affine cactus group is a CAT$(0)$ group for all degrees. Furthermore, we show that the affine cactus group $AJ_3$ of degree three is a hyperbolic group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29422 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | CAT(0) property and hyperbolicity of affine cactus groups Hama, Takatoshi Group Theory Geometric Topology 20F65, 20F38, 05E18, 57M60, 20F67 We show that the affine cactus group is a CAT$(0)$ group for all degrees. Furthermore, we show that the affine cactus group $AJ_3$ of degree three is a hyperbolic group. |
| title | CAT(0) property and hyperbolicity of affine cactus groups |
| topic | Group Theory Geometric Topology 20F65, 20F38, 05E18, 57M60, 20F67 |
| url | https://arxiv.org/abs/2605.29422 |