Property $R_\infty$ for some spherical and affine Artin-Tits groups
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866913787693498368 |
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| author | Calvez, Matthieu Soroko, Ignat |
| author_facet | Calvez, Matthieu Soroko, Ignat |
| contents | Let $n\ge2$. In this note we give a short uniform proof of property $R_\infty$ for the Artin-Tits groups of spherical types $A_n$, $B_n$, $D_4$, $I_2(m)$ ($m\ge3$), their pure subgroups, and for the Artin-Tits groups of affine types $\widetilde A_{n-1}$ and $\widetilde C_n$. In particular, we provide an alternative proof of a recent result of Dekimpe, Gonçalves and Ocampo, who established property $R_{\infty}$ for pure Artin braid groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_13260 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Property $R_\infty$ for some spherical and affine Artin-Tits groups Calvez, Matthieu Soroko, Ignat Group Theory Geometric Topology 20F36, 20F65, 57K20, 20E36, 20E45, 57M07 (primary) Let $n\ge2$. In this note we give a short uniform proof of property $R_\infty$ for the Artin-Tits groups of spherical types $A_n$, $B_n$, $D_4$, $I_2(m)$ ($m\ge3$), their pure subgroups, and for the Artin-Tits groups of affine types $\widetilde A_{n-1}$ and $\widetilde C_n$. In particular, we provide an alternative proof of a recent result of Dekimpe, Gonçalves and Ocampo, who established property $R_{\infty}$ for pure Artin braid groups. |
| title | Property $R_\infty$ for some spherical and affine Artin-Tits groups |
| topic | Group Theory Geometric Topology 20F36, 20F65, 57K20, 20E36, 20E45, 57M07 (primary) |
| url | https://arxiv.org/abs/2106.13260 |