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.

Podrobná bibliografie
Hlavní autoři: Stark, E, Woodhouse, DJ
Médium: Journal article
Jazyk:English
Vydáno: Oxford University Press 2020