Bounded cohomology of groups acting on trees with almost prescribed local actions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916544730103808 |
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| author | Bargagnati, Giuseppe Bogliolo, Elena |
| author_facet | Bargagnati, Giuseppe Bogliolo, Elena |
| contents | We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions $G(F, F')$, where $F<F'$ are finite permutation groups such that $F'$ is 2-transitive. By contrast, when $F'$ is not 2-transitive, we prove that the second bounded cohomology with real coefficients of the groups $G(F, F')$ is infinite dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounded cohomology of groups acting on trees with almost prescribed local actions Bargagnati, Giuseppe Bogliolo, Elena Group Theory Geometric Topology 20J05, 55N10, 20E08, 20F65 We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions $G(F, F')$, where $F<F'$ are finite permutation groups such that $F'$ is 2-transitive. By contrast, when $F'$ is not 2-transitive, we prove that the second bounded cohomology with real coefficients of the groups $G(F, F')$ is infinite dimensional. |
| title | Bounded cohomology of groups acting on trees with almost prescribed local actions |
| topic | Group Theory Geometric Topology 20J05, 55N10, 20E08, 20F65 |
| url | https://arxiv.org/abs/2412.15463 |