Conjugacy, roots, and centralizers in Thompson's group $F$
Group Theory
2008-04-25 v3
Abstract
We complete the program begun by Brin and Squier of characterising conjugacy in Thompson's group using the standard action of as a group of piecewise linear homeomorphisms of the unit interval.
Cite
@article{arxiv.0709.1987,
title = {Conjugacy, roots, and centralizers in Thompson's group $F$},
author = {Nick Gill and Ian Short},
journal= {arXiv preprint arXiv:0709.1987},
year = {2008}
}
Comments
11 pages. The exposition has been rewritten. We have added an extra section which analyses the structure of roots and centralizers; the title has been changed to reflect this. The paper has been submitted for publication