Relative Hyperbolicity and Artin Groups |
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Authors: | Ilya Kapovich Paul Schupp |
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Affiliation: | (1) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, U.S.A. |
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Abstract: | ![]() Let G=⟨ a1,&ldots; , an | aiajai&ldots; = a_ja_ia_j,&ldots; ,i>j⟩ be an Artin group and let mij =mji be the length of each of the sides of the defining relation involving aiand aj. 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 ai, aj for which m_ij >&infty;. |
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Keywords: | relatively hyperbolic Artin groups |
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