Dehornoy-like left orderings and isolated left orderings
Group Theory
2014-06-11 v1
Abstract
We introduce a Dehornoy-like ordering of groups, which is a generalization of the Dehornoy ordering of the braid groups. Under a weak assumption which we call Property F, we show that Dehornoy-like orderings have properties similar to the Dehornoy ordering, and produce isolated left orderings. We also construct new examples of Dehornoy-like ordering and isolated orderings and study their more precise properties.
Keywords
Cite
@article{arxiv.1102.4669,
title = {Dehornoy-like left orderings and isolated left orderings},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:1102.4669},
year = {2014}
}
Comments
17 pages, 2 figures