Lone Axes in Outer Space
Group Theory
2016-12-21 v3
Abstract
Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in "Axes in Outer Space." In this paper we give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line. As a consequence, we give a setting, and means for identifying in this setting, when two elements of an outer automorphism group have conjugate powers.
Cite
@article{arxiv.1311.6855,
title = {Lone Axes in Outer Space},
author = {Lee Mosher and Catherine Pfaff},
journal= {arXiv preprint arXiv:1311.6855},
year = {2016}
}
Comments
Significant revisions for the sake of readability, several arguments filled in