Hyperbolic aspects of right-angled Artin groups

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For each right-angled Artin group G, we canonically associate a quasi-tree T. In the case when G has cohomological dimension two, this graph T precisely encodes all the isomorphism types of right-angled Artin groups that are embedded in G. In general, T provides a necessary condition for such isomorphism types. T turns out to be quasi-isometric to the coned-off Cayley graph of G relative to the centralizers of the vertices. We describe hyperbolic aspects of the action of G on this quasi-tree.
Publisher
한국과학기술원
Issue Date
2012-08-16
Language
English
Citation

The 10th KAIST Geometric Topology Fair

URI
http://hdl.handle.net/10203/259536
Appears in Collection
MA-Conference Papers(학술회의논문)
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