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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…