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Loxodromic elements for the relative free factor complex

Published 13 Dec 2016 in math.GR and math.GT | (1612.04261v2)

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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