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Relative Hyperbolicity and Artin Groups
Authors:Ilya Kapovich  Paul Schupp
Institution:(1) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, U.S.A.
Abstract:Let G=⟨ a1,&ldots; , a n | a i a j a i &ldots; = a_ja_ia_j,&ldots; ,i>j⟩ be an Artin group and let m ij =m ji be the length of each of the sides of the defining relation involving a i and a j . We show if all m_ij ⩾ 7 then G is relatively hyperbolic in the sense of Farb with respect to the collection of its two-generator subgroups langa i , a j rangfor which m_ij >&infty;.
Keywords:relatively hyperbolic  Artin groups
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