Geodesic
On right-angled Artin groups without surface subgroups
Sang-hyun Kim1
1University of Texas at Austin, USA
Groups, geometry, and dynamics, Tome 4 (2010) no. 2, pp. 275-307

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DOI

We study the class N of graphs, the right-angled Artin groups defined on which do not contain closed hyperbolic 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'.
DOI : 10.4171/ggd/84
Classification : 20-XX, 05-XX, 00-XX
Mots-clés : Right-angled Artin group, graph group, surface group, label-reading map

Sang-hyun Kim  1

1 University of Texas at Austin, USA 
Sang-hyun Kim. On  right-angled Artin groups without surface subgroups. Groups, geometry, and dynamics, Tome 4 (2010) no. 2, pp. 275-307. doi: 10.4171/ggd/84
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     year = {2010},
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     number = {2},
     doi = {10.4171/ggd/84},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/84/}
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