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arXiv:0811.1946 [math.GR]AbstractReferencesReviewsResources

On right-angled Artin groups without surface subgroups

Sang-hyun Kim

Published 2008-11-12, updated 2009-01-22Version 2

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'.

Comments: 29 pages, 14 figures. Proof of Lemma 3.6 is simplified; several typos are corrected
Journal: Groups Geom. Dyn. 4 (2010), no. 2, 275-307
Categories: math.GR, math.GT
Subjects: 20F36, 20F65, 05C25
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