Relative hyperbolicity and Artin groups

Abstract

Let $G=<a_1,...,a_n|a_i{a}_j{a}_i...=a_j{a}_i{a}_j...,i<j>$ 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 $m_{ij}\ge 7$ 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 $m_{ij}<\infty$.

Revised final version, to appear in Geometriae Dedicata. The paper contains four figures that will not show correctly in the DVI file since they are incorporated using psfrag. Print a PostScript or a PDF version instead

Cited by in corpus (2)

• Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems
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