Mathematics – Group Theory
Scientific paper
2008-11-12
Groups Geom. Dyn. 4 (2010), no. 2, 275-307
Mathematics
Group Theory
29 pages, 14 figures. Proof of Lemma 3.6 is simplified; several typos are corrected
Scientific paper
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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