A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup
Jan Kim
Pusan National University, Busan, South KoreaDonghi Lee
Pusan National University, Busan, South Korea
![A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup cover](/_next/image?url=https%3A%2F%2Fcontent.preview.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-ggd.png&w=3840&q=90)
Abstract
We produce an example demonstrating that every finitely generated relatively hyperbolic group with respect to a collection of Hopfian subgroups need not be Hopfian. This answers a question of Osin (2006) in the negative.
Cite this article
Jan Kim, Donghi Lee, A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup. Groups Geom. Dyn. (2024), published online first
DOI 10.4171/GGD/782