Lone Axes in Outer Space

• Published in 2013
• Added on 2013-11-29

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.

Links

• http://arxiv.org/abs/1311.6855
• http://arxiv.org/pdf/1311.6855v3

Other information

BibTeX entry

@article{Mosher2013,
	key = {Mosher2013},
	type = {article},
	title = {Lone Axes in Outer Space},
	author = {Mosher, Lee and Pfaff, Catherine},
	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 = {},
	date_added = {2013-11-29},
	date_published = {2013-11-01},
	urls = {http://arxiv.org/abs/1311.6855,http://arxiv.org/pdf/1311.6855v3},
	collections = {Attention-grabbing titles},
	url = {http://arxiv.org/abs/1311.6855 http://arxiv.org/pdf/1311.6855v3},
	urldate = {2013-11-29},
	month = {nov},
	year = 2013,
	archivePrefix = {arXiv},
	eprint = {1311.6855},
	primaryClass = {math.GR}
}