The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions
Group Theory
2018-10-25 v2
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.
Keywords
Cite
@article{arxiv.1711.05797,
title = {The residual finiteness of (hyperbolic) automorphism-induced HNN-extensions},
author = {Alan D. Logan},
journal= {arXiv preprint arXiv:1711.05797},
year = {2018}
}
Comments
5 pages. More focused exposition