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arXiv · 1311.6855

Lone Axes in Outer Space

Lee Mosher·Catherine Pfaff
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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 $Out(F_r)$ have conjugate powers.

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Lee Mosher, Catherine Pfaff. 2015-09-01. Lone Axes in Outer Space. https://doi.org/10.2140/agt.2016.16.3385

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