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

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

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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Veröffentlicht in:Groups, geometry and dynamics geometry and dynamics, 2024-12, Vol.18 (4), p.1275-1289
Hauptverfasser: Kim, Jan, Lee, Donghi
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
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Zusammenfassung: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.
ISSN:1661-7207
1661-7215
DOI:10.4171/ggd/782