Hyperbolic groups that are not commensurably co-hopfian

Sela proved that every torsion-free one-ended hyperbolic group is co-Hopfian. We prove that there exist torsion-free one-ended hyperbolic groups that are not commensurably co-Hopfian. In particular, we show that the fundamental group of every simple surface amalgam is not commensurably co-Hopfian.

书目详细资料
Main Authors: Stark, E, Woodhouse, DJ
格式: Journal article
语言:English
出版: Oxford University Press 2020