Property $P_{\text{naive}}$ for big mapping class groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912942281195520 |
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| author | Lou, Tianyi |
| author_facet | Lou, Tianyi |
| contents | We study the property $P_{\text {naive }}$ of mapping class groups of surfaces of infinite type, that is, for any finite collection of non-trivial elements $h_{1},h_{2}, \cdots, h_{n}$, there exists another element $g\neq 1$ of infinite order such that for all $i$, $\langle g, h_{i}\rangle \cong \langle g \rangle * \langle h_{i} \rangle$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17594 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Property $P_{\text{naive}}$ for big mapping class groups Lou, Tianyi Geometric Topology 20F65, 57K20 We study the property $P_{\text {naive }}$ of mapping class groups of surfaces of infinite type, that is, for any finite collection of non-trivial elements $h_{1},h_{2}, \cdots, h_{n}$, there exists another element $g\neq 1$ of infinite order such that for all $i$, $\langle g, h_{i}\rangle \cong \langle g \rangle * \langle h_{i} \rangle$. |
| title | Property $P_{\text{naive}}$ for big mapping class groups |
| topic | Geometric Topology 20F65, 57K20 |
| url | https://arxiv.org/abs/2411.17594 |