Jan Kim

collaborators

3 papers

math.GR2023

A recipe for constructing non-Hopfian relatively hyperbolic groups with Hopfian peripheral subgroups

Jan Kim, Tattybubu Arap kyzy, Donghi Lee

Very recently, Kim and Lee presented an example of a non-Hopfian relatively hyperbolic group with a Hopfian peripheral subgroup, demonstrating a counterexample to Osin's well-known…

math.GR2023

A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup

Jan Kim, Donghi Lee

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…

math.GR2019

Non-residually finite groups hyperbolic relative to residually finite subgroups

Jan Kim, Donghi Lee

Let $m$ and $k$ be integers such that $∣ m ∣, ∣ k ∣ > 1$ and $g cd (m, k) = 1$ . We show that all Baumslag-Solitar groups $B S (m, mk)$ are non-residually finite groups hyperbolic relative…