arXiv:1711.05797 [math.GR]AbstractReferencesReviewsResources
The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions
Published 2017-11-15Version 1
We classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of the residual separability of a single associated subgroup. This classification yields a general method to construct automorphism-induced HNN-extensions which are not residually finite. We prove that this construction can never yield a "new" counter-example to Gromov's conjecture on the residual finiteness of hyperbolic groups.
Comments: 6 pages
Categories: math.GR
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