Surface groups are flexibly stable
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866929666126774272 |
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| author | Lazarovich, Nir Levit, Arie Minsky, Yair |
| author_facet | Lazarovich, Nir Levit, Arie Minsky, Yair |
| contents | We show that surface groups are flexibly stable in permutations. This is the first non-trivial example of a non-amenable flexibly stable group. Our method is purely geometric and relies on an analysis of branched covers of hyperbolic surfaces. Along the way we establish a quantitative variant of the LERF property for surface groups which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_07182 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Surface groups are flexibly stable Lazarovich, Nir Levit, Arie Minsky, Yair Group Theory Geometric Topology We show that surface groups are flexibly stable in permutations. This is the first non-trivial example of a non-amenable flexibly stable group. Our method is purely geometric and relies on an analysis of branched covers of hyperbolic surfaces. Along the way we establish a quantitative variant of the LERF property for surface groups which may be of independent interest. |
| title | Surface groups are flexibly stable |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/1901.07182 |