Relative Hyperbolicity and Artin Groups

被引：0
作者：
Ilya Kapovich
Paul Schupp
机构：
[1] University of Illinois at Urbana-Champaign,Department of Mathematics
来源：
Geometriae Dedicata | 2004年 / 107卷
关键词：
relatively hyperbolic; Artin groups;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：153 / 167
页数：14
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