Work

Genus bounds in right-angled Artin groups

Year: 2019

Type: article

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.

Source: Publicacions Matemàtiques

DOI: 10.5565/publmat6412010

Authors: Max Forester, Ignat Soroko, Jing Tao

Institutions: Louisiana State University, University of Oklahoma, Consejo Superior de Investigaciones Científicas

Language: Catalan

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Division of Mathematical Sciences

Awards: G202495085, G5969482202, Mathematical Sciences Research Institute (MSRI)