The asymptotic geometry of right-angled Artin groups, I

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dc.creatorBestvina, Mladen
dc.creatorKleiner, Bruce
dc.creatorSageev, Michah
dc.date2007-08-14
dc.date.accessioned2026-07-07T08:23:38Z
dc.date.available2026-07-07T08:23:38Z
dc.descriptionWe study atomic right-angled Artin groups -- those whose defining graph has no cycles of length less than five, and no separating vertices, separating edges, or separating vertex stars. We show that these groups are not quasi-isometrically rigid, but that an intermediate form of rigidity does hold. We deduce from this that two atomic groups are quasi-isometric iff they are isomorphic.
dc.identifierhttps://arxiv.org/abs/0708.1937
dc.identifierhttp://arxiv.org/abs/0708.1937
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136070
dc.subjectGroup Theory
dc.subjectMetric Geometry
dc.subject20F65; 20F69; 20F67; 05C25
dc.titleThe asymptotic geometry of right-angled Artin groups, I
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