Hyperbolic groups that are not commensurably coHopfian
Group Theory
2020-02-19 v3 Geometric Topology
Abstract
Sela proved every torsion-free one-ended hyperbolic group is coHopfian. We prove that there exist torsion-free one-ended hyperbolic groups that are not commensurably coHopfian. In particular, we show that the fundamental group of every simple surface amalgam is not commensurably coHopfian.
Keywords
Cite
@article{arxiv.1812.07799,
title = {Hyperbolic groups that are not commensurably coHopfian},
author = {Emily Stark and Daniel J. Woodhouse},
journal= {arXiv preprint arXiv:1812.07799},
year = {2020}
}
Comments
v3: 14 pages, 4 figures; minor changes. To appear in International Mathematics Research Notices