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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.18124 |
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| _version_ | 1866910378295820288 |
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| author | Hidalgo, Rubén A. |
| author_facet | Hidalgo, Rubén A. |
| contents | We prove the existence of finite groups of orientation-preserving homeomorphisms of some closed orientable surface $S$ that act freely and which extends as a group of homeomorphisms of some compact orientable $3$-manifold with boundary $S$, but which cannot extend to a handlebody. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18124 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extending finite free actions of surfaces Hidalgo, Rubén A. Geometric Topology 57M60, 57M10 We prove the existence of finite groups of orientation-preserving homeomorphisms of some closed orientable surface $S$ that act freely and which extends as a group of homeomorphisms of some compact orientable $3$-manifold with boundary $S$, but which cannot extend to a handlebody. |
| title | Extending finite free actions of surfaces |
| topic | Geometric Topology 57M60, 57M10 |
| url | https://arxiv.org/abs/2310.18124 |