Groups, Geometry, and Dynamics
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Published online: 2010-02-21
On right-angled Artin groups without surface subgroupsSang-hyun Kim (1) University of Texas at Austin, USA
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'.
Keywords: Right-angled Artin group, graph group, surface group, label-reading map
Kim Sang-hyun: On right-angled Artin groups without surface subgroups. Groups Geom. Dyn. 4 (2010), 275-307. doi: 10.4171/GGD/84