Conjugacy, roots, and centralizers in Thompson's group
arXiv:0709.1987
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.
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