Relative hyperbolicity and Artin groups

Details Relative hyperbolicity and Artin groups Relative hyperbolicity and Artin groups

2002-09-06

arxiv.org/abs/math/0209058v2

Mathematics

Group Theory

Revised final version, to appear in Geometriae Dedicata. The paper contains four figures that will not show correctly in the D

Scientific paper

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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