Condensation and left-orderable groups
Group Theory
2024-10-01 v2 Logic
Abstract
We discuss condensed left-orderings and develop new techniques to show that the conjugacy relation on the space of left-orderings is not smooth. These techniques apply to the solvable Baumslag Solitar groups and to Thompson's group F.
Cite
@article{arxiv.2312.04993,
title = {Condensation and left-orderable groups},
author = {Filippo Calderoni and Adam Clay},
journal= {arXiv preprint arXiv:2312.04993},
year = {2024}
}
Comments
12 pages, 2 figures. Section 3.1 has been improved and Proposition 3.2 has been added. Accepted for publication on the Proceedings of the AMS, Series B