Examples of left-orderable and non-left-orderable HNN extensions
Group Theory
2026-05-04 v3 Geometric Topology
Abstract
We prove that an HNN extension of a torsion-free nilpotent group is left-orderable. We also construct examples of non-left-orderable HNN extensions of left-orderable groups
Keywords
Cite
@article{arxiv.2301.00052,
title = {Examples of left-orderable and non-left-orderable HNN extensions},
author = {Azer Akhmedov and Cody Martin},
journal= {arXiv preprint arXiv:2301.00052},
year = {2026}
}
Comments
This is a slight extension of the original version. We strengthen the statement of one of the major results