Random groups are not left-orderable
Group Theory
2016-12-05 v4
Abstract
We prove that random groups in the Gromov density model at any density have with overwhelming probability no non-trivial left-orderable quotients. In particular, random groups at densities are not left-orderable.
Cite
@article{arxiv.1409.1289,
title = {Random groups are not left-orderable},
author = {Damian Orlef},
journal= {arXiv preprint arXiv:1409.1289},
year = {2016}
}