Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups
Group Theory
2012-05-23 v3 Geometric Topology
Abstract
We show that if a group is not virtually cyclic and is hyperbolic relative to a family of proper subgroups, then it has a hyperbolically embedded subgroup which contains a finitely generated non-abelian free group as a finite index subgroup.
Keywords
Cite
@article{arxiv.1109.2663,
title = {Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups},
author = {Yoshifumi Matsuda and Shin-ichi Oguni and Saeko Yamagata},
journal= {arXiv preprint arXiv:1109.2663},
year = {2012}
}
Comments
13 pages, 1 figure, a remark on the main result is added