Genus bounds in right-angled Artin groups
We show that, in any right-angled Artin group whose defining graph has chromatic number k, every non-trivial element has stable commutator length at least 1/(6k). Secondly, if the defining graph does not contain triangles, then every non-trivial element has stable commutator length at least 1/20. Thes...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:218571 |
| Acceso en línea: | https://ddd.uab.cat/record/218571 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6412010 |
| Access Level: | acceso abierto |
| Palabra clave: | Stable commutator length Right-angled artin groups Non-overlapping property |
| Sumario: | We show that, in any right-angled Artin group whose defining graph has chromatic number k, every non-trivial element has stable commutator length at least 1/(6k). Secondly, if the defining graph does not contain triangles, then every non-trivial element has stable commutator length at least 1/20. These results are obtained via an elementary geometric argument based on earlier work of Culler. |
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