Relative Hyperbolicity and Artin Groups |
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Authors: | Ilya Kapovich Paul Schupp |
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Institution: | (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; , 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 a
i
, a
j
for which m_ij >&infty;. |
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Keywords: | relatively hyperbolic Artin groups |
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