Relatively hyperbolic groups: geometry and quasi-isometric invariance
群论
2007-05-23 v4 几何拓扑
摘要
In this paper it is proved that relative hyperbolicity is an invariant of quasi-isometry. As a byproduct of the arguments, simplified definitions of relative hyperbolicity are obtained. In particular we obtain a new definition very similar to the one of hyperbolicity, relying on the existence for every quasi-geodesic triangle of a central left coset of peripheral subgroup.
引用
@article{arxiv.math/0605211,
title = {Relatively hyperbolic groups: geometry and quasi-isometric invariance},
author = {Cornelia Drutu},
journal= {arXiv preprint arXiv:math/0605211},
year = {2007}
}
备注
34 pages, Latex; added references, corrected typos, pictures included in the Latex file