On right-angled Artin groups without surface subgroups
Group Theory
2010-12-03 v2 Geometric Topology
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'.
Keywords
Cite
@article{arxiv.0811.1946,
title = {On right-angled Artin groups without surface subgroups},
author = {Sang-hyun Kim},
journal= {arXiv preprint arXiv:0811.1946},
year = {2010}
}
Comments
29 pages, 14 figures. Proof of Lemma 3.6 is simplified; several typos are corrected