The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions

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4 Citations (Scopus)


We classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of the residual separability of a single associated subgroup. This classification provides a method to construct automorphism-induced HNN-extensions which are not residually finite. We prove that this method can never yield a “new” counter-example to Gromov’s conjecture on the residual finiteness of hyperbolic groups.
Original languageEnglish
Pages (from-to)5399-5402
Number of pages4
JournalCommunications in Algebra
Issue number12
Publication statusPublished - 2 Dec 2018


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