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

  • Jan Kim

    Pusan National University, Busan, South Korea

  • Donghi Lee

    Pusan National University, Busan, South Korea
A non-Hopfian relatively hyperbolic group with respect to a Hopfian subgroup cover
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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