Interesting Esoterica

Lone Axes in Outer Space

Article by Mosher, Lee and Pfaff, Catherine
  • Published in 2013
  • Added on
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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BibTeX entry

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