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2016 Lone axes in outer space
Lee Mosher, Catherine Pfaff
Algebr. Geom. Topol. 16(6): 3385-3418 (2016). DOI: 10.2140/agt.2016.16.3385

Abstract

Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in [Mem. Amer. Math. Soc. 1004 (2011)]. 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(Fr) have conjugate powers.

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Lee Mosher. Catherine Pfaff. "Lone axes in outer space." Algebr. Geom. Topol. 16 (6) 3385 - 3418, 2016. https://doi.org/10.2140/agt.2016.16.3385

Information

Received: 1 September 2015; Revised: 30 April 2016; Accepted: 18 May 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 06666104
MathSciNet: MR3584262
Digital Object Identifier: 10.2140/agt.2016.16.3385

Subjects:
Primary: 20F65
Secondary: 05E18, 57M07

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 6 • 2016
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