Stability, approximable quotients, and higher property (T)
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908703451512832 |
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| author | Fournier-Facio, Francesco |
| author_facet | Fournier-Facio, Francesco |
| contents | We construct a wealth of groups that are finitely presented, Frobenius stable, have property (T), but are very far from having property (T$_2$). Our method also shows that property (T$_2$) does not pass to quotients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability, approximable quotients, and higher property (T) Fournier-Facio, Francesco Group Theory We construct a wealth of groups that are finitely presented, Frobenius stable, have property (T), but are very far from having property (T$_2$). Our method also shows that property (T$_2$) does not pass to quotients. |
| title | Stability, approximable quotients, and higher property (T) |
| topic | Group Theory |
| url | https://arxiv.org/abs/2512.09180 |