On right-angled Artin groups without surface subgroups

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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'.
Publisher
EUROPEAN MATHEMATICAL SOC
Issue Date
2010
Language
English
Article Type
Article
Keywords

GRAPH GROUPS; 3-MANIFOLDS; COHERENCE

Citation

GROUPS GEOMETRY AND DYNAMICS, v.4, no.2, pp.275 - 307

ISSN
1661-7207
DOI
10.4171/GGD/84
URI
http://hdl.handle.net/10203/98726
Appears in Collection
MA-Journal Papers(저널논문)
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