Exotic left orderings of the free groups from the Dehornoy ordering
Group Theory
2009-10-26 v2
Abstract
We show that the restriction of the Dehornoy ordering to an appropriate free subgroup of the three-strand braid group defines a left ordering of the free group on k generators, k>1, that has no convex subgroups.
Cite
@article{arxiv.0906.4997,
title = {Exotic left orderings of the free groups from the Dehornoy ordering},
author = {Adam Clay},
journal= {arXiv preprint arXiv:0906.4997},
year = {2009}
}
Comments
8 pages, Proposition 3.2 has been removed due to an error in the proof. The main results of the paper are unchanged. Some typos corrected