March 20, 2024Open Access

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

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Resumen

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.

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Kim et al. (Wed,) studied this question.

synapsesocial.com/papers/68e733c9b6db6435876ad5c1 https://doi.org/https://doi.org/10.4171/ggd/782

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