Genus bounds in right-angled Artin groups

Autores: Max Forester, Ignat Soroko, Jing Tao Lü
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 64, Nº 1, 2020, págs. 233-253
Idioma: inglés
DOI: 10.5565/publmat6412010
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Resumen
- 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.