Genus bounds in right-angled Artin groups
Forester, Max (University of Oklahoma. Department of Mathematics)
Soroko, Ignat (Louisiana State University. Department of Mathematics)
Tao, Jing (University of Oklahoma. Department of Mathematics)

Date:	2020
Abstract:	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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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Stable commutator length ; Right-angled artin groups ; Non-overlapping property
Published in:	Publicacions matemàtiques, Vol. 64 Núm. 1 (2020) , p. 233-253, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/362895
DOI: 10.5565/PUBLMAT6412010

21 p, 439.0 KB

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