The asymptotic geometry of rightangled Artin groups, I

Mladen Bestvina, Bruce Kleiner, Michah Sageev

Research output: Contribution to journalArticlepeer-review


We study atomic right angled Artin groups - those whose defining graph has no cycles of length ≤ 4, 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.

Original languageEnglish (US)
Pages (from-to)1653-1699
Number of pages47
JournalGeometry and Topology
Issue number3
StatePublished - 2008


  • CAT(0)
  • Quasi isometry
  • Rigidity

ASJC Scopus subject areas

  • Geometry and Topology


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