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arXiv · 1711.05797

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

Alan D. Logan
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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.

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Alan D. Logan. 2017-11-15. The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions. https://doi.org/10.1080/00927872.2018.1468904

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