中文

Relative hyperbolicity and Artin groups

群论 2009-09-29 v2 数学物理 math.MP

摘要

Let G=<a1,...,anaiajai...=ajaiaj...,i<j>G=<a_1,..., a_n | a_ia_ja_i... = a_ja_ia_j..., i<j> be an Artin group and let mij=mjim_{ij}=m_{ji} be the length of each of the sides of the defining relation involving aia_i and aja_j. We show if all mij7m_{ij}\ge 7 then GG is relatively hyperbolic in the sense of Farb with respect to the collection of its two-generator subgroups <ai,aj><a_i, a_j> for which mij<m_{ij}<\infty.

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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