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arXiv · 0811.1946

On right-angled Artin groups without surface subgroups

Sang-hyun Kim
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Abstract

We study the class N of graphs, the right-angled Artin groups defined on which do not contain 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'.

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Sang-hyun Kim. 2008-11-12. On right-angled Artin groups without surface subgroups. https://arxiv.org/abs/0811.1946

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