Interval exchanges that do not embed in free groups
Dynamical Systems
2010-07-23 v1
Abstract
A disjoint rotation map is an interval exchange transformation (IET) on the unit interval that acts by rotation on a finite number of invariant subintervals. It is currently unknown whether the group E of all IETs possesses any non-abelian free subgroups. It is shown that it is not possible for a disjoint rotation map to occur in a subgroup of E that is isomorphic to a non-abelian free group.
Keywords
Cite
@article{arxiv.1007.3940,
title = {Interval exchanges that do not embed in free groups},
author = {Christopher F. Novak},
journal= {arXiv preprint arXiv:1007.3940},
year = {2010}
}
Comments
8 pages, 1 figure