Quasi-hyperbolic planes in hyperbolic groups
Group Theory
2007-05-23 v1 Geometric Topology
Metric Geometry
Abstract
The hyperbolic plane admits a quasi-isometric embedding into a hyperbolic group if and only if the group is not virtually free.
Cite
@article{arxiv.math/0301267,
title = {Quasi-hyperbolic planes in hyperbolic groups},
author = {Mario Bonk and Bruce Kleiner},
journal= {arXiv preprint arXiv:math/0301267},
year = {2007}
}