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arXiv · 1612.04261

Loxodromic elements for the relative free factor complex

Radhika Gupta
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Abstract

In this paper we prove that a fully irreducible outer automorphism relative to a non-exceptional free factor system acts loxodromically on the relative free factor complex as defined by Handel and Mosher. We also prove a north-south dynamic result for the action of such outer automorphisms on the closure of relative outer space.

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Radhika Gupta. 2017-12-27. Loxodromic elements for the relative free factor complex. https://arxiv.org/abs/1612.04261

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