A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup
Group Theory
2023-04-21 v1
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 \cite[Problem 5.5]{Osin} in the negative.
Cite
@article{arxiv.2304.10012,
title = {A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup},
author = {Jan Kim and Donghi Lee},
journal= {arXiv preprint arXiv:2304.10012},
year = {2023}
}
Comments
15 pages