Hyperbolic groups that are not commensurably coHopfian

Autor: Stark, Emily, Woodhouse, Daniel J.
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: v3: 14 pages, 4 figures; minor changes. To appear in International Mathematics Research Notices
Databáze: arXiv