On Right-angled Artin Groups without Surface Subgroups
نویسنده
چکیده
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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تاریخ انتشار 2009