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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.16409 |
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| _version_ | 1866911285987246080 |
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| author | Li, Kevin Saldaña, Luis Jorge Sánchez |
| author_facet | Li, Kevin Saldaña, Luis Jorge Sánchez |
| contents | For $n\in \mathbb{N}$, a group is called $n$-coherent if every subgroup of type $\mathsf{F}_n$ is of type $\mathsf{F}_{n+1}$. For $n\ge 1$, we observe that graphs of groups with $n$-coherent vertex groups and virtually poly-cyclic edge groups are $n$-coherent. We deduce the $n$-coherence of certain right-angled Artin groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16409 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on higher coherence of graphs of groups Li, Kevin Saldaña, Luis Jorge Sánchez Group Theory For $n\in \mathbb{N}$, a group is called $n$-coherent if every subgroup of type $\mathsf{F}_n$ is of type $\mathsf{F}_{n+1}$. For $n\ge 1$, we observe that graphs of groups with $n$-coherent vertex groups and virtually poly-cyclic edge groups are $n$-coherent. We deduce the $n$-coherence of certain right-angled Artin groups. |
| title | A note on higher coherence of graphs of groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2511.16409 |