pith. sign in

arxiv: 1711.05797 · v2 · pith:SUCSW3U4new · submitted 2017-11-15 · 🧮 math.GR

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

classification 🧮 math.GR
keywords automorphism-inducedhnn-extensionsresidualfinitefinitenesshyperbolicmethodresidually
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.