Lee Mosher, Catherine Pfaff
Published 2013-11-27, updated 2015-09-01Version 3
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 $Out(F_r)$ have conjugate powers.
Comments: Significant revisions for the sake of readability, several arguments filled in
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One-endedness of outer automorphism groups of free products of finite and cyclic groups
The topology and geometry of automorphism groups of free groups
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