JournalsggdVol. 4, No. 2pp. 275–307

On right-angled Artin groups without surface subgroups

  • Sang-hyun Kim

    University of Texas at Austin, USA
On  right-angled Artin groups without surface subgroups cover
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Abstract

We study the class N of graphs, the right-angled Artin groups defined on which do not contain closed hyperbolic surface subgroups. We prove that a presumably smaller class N' is closed under amalgamating along complete subgraphs, and also under adding bisimplicial edges. It follows that chordal graphs and chordal bipartite graphs belong to N'.

Cite this article

Sang-hyun Kim, On right-angled Artin groups without surface subgroups. Groups Geom. Dyn. 4 (2010), no. 2, pp. 275–307

DOI 10.4171/GGD/84