Lone Axes in Outer Space
- Published in 2013
- Added on
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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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@article{Mosher2013, title = {Lone Axes in Outer Space}, author = {Mosher, Lee and Pfaff, Catherine}, url = {http://arxiv.org/abs/1311.6855 http://arxiv.org/pdf/1311.6855v3}, urldate = {2013-11-29}, 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.}, comment = {}, month = {nov}, year = 2013, archivePrefix = {arXiv}, eprint = {1311.6855}, primaryClass = {math.GR}, collections = {Attention-grabbing titles} }