Abstract
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 language | English |
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Pages (from-to) | 5399-5402 |
Number of pages | 4 |
Journal | Communications in Algebra |
Volume | 46 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2 Dec 2018 |