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.

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Stark, E, Woodhouse, DJ
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: Oxford University Press 2020