Dynamics of isolated orders
Group Theory
2018-11-28 v4
Abstract
We study some properties of the dynamical realization of isolated left orders of a countable group G. We show that the dynamical realization admits a unique minimal set provided G is not infinite cyclic. We show that convex subgroup of an isolated left order is finite in number. Using this, we give a dynamical proof of the Tararin theorem. We also show that there is a new isolated order on the braid group B_3.
Cite
@article{arxiv.1701.05987,
title = {Dynamics of isolated orders},
author = {Shigenori Matsumoto},
journal= {arXiv preprint arXiv:1701.05987},
year = {2018}
}
Comments
22 pages, 4 figures