Relative hyperbolicity and Artin groups
群论
2009-09-29 v2 数学物理
math.MP
摘要
Let be an Artin group and let be the length of each of the sides of the defining relation involving and . We show if all then is relatively hyperbolic in the sense of Farb with respect to the collection of its two-generator subgroups for which .
引用
@article{arxiv.math/0209058,
title = {Relative hyperbolicity and Artin groups},
author = {Ilya Kapovich and Paul Schupp},
journal= {arXiv preprint arXiv:math/0209058},
year = {2009}
}
备注
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