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Relative hyperbolicity and Artin groups

Ilya Kapovich·Paul Schupp
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Abstract

Let $G= $ 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 $ $ for which $m_{ij}<\infty$.

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Ilya Kapovich, Paul Schupp. 2003-07-25. Relative hyperbolicity and Artin groups. https://arxiv.org/abs/math/0209058

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