Spaces of orders of some one-relator groups
Group Theory
2018-12-19 v2 Dynamical Systems
Representation Theory
Abstract
We show that certain orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general orderable group, the HNN extensions of free groups over cyclic subgroups, and a particular class of one-relator groups. In order to prove the results about orders, we develop perturbation techniques for actions of these groups on the line.
Keywords
Cite
@article{arxiv.1712.00066,
title = {Spaces of orders of some one-relator groups},
author = {Juan Alonso and Joaquin Brum},
journal= {arXiv preprint arXiv:1712.00066},
year = {2018}
}
Comments
17 pages, 6 figures