Relative hyperbolicity and Artin groups

Ilya Kapovich, Paul Schupp

Research output: Contribution to journalArticlepeer-review


Let G = 〈a1,...,an|aia jai...= ajaiaj,...,i < j∠ be an Artin group and let mij = mji be the length of each of the sides of the defining relation involving ai and aj. We show if all mij ≥ 7 then G is relatively hyperbolic in the sense of Farb with respect to the collection of its two-generator subgroups 〈ai, aj〉 for which mij < ∞.

Original languageEnglish (US)
Pages (from-to)153-167
Number of pages15
JournalGeometriae Dedicata
Issue number1
StatePublished - 2004
Externally publishedYes


  • Artin groups
  • Relatively hyperbolic

ASJC Scopus subject areas

  • Geometry and Topology


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