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)
Data: |
2020 |
Resum: |
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. |
Drets: |
Tots els drets reservats. |
Llengua: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Matèria: |
Stable commutator length ;
Right-angled artin groups ;
Non-overlapping property |
Publicat a: |
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
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Registre creat el 2020-02-15, darrera modificació el 2022-09-03