Loxodromic elements for the relative free factor complex
Group Theory
2017-12-29 v2 Geometric Topology
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.
Cite
@article{arxiv.1612.04261,
title = {Loxodromic elements for the relative free factor complex},
author = {Radhika Gupta},
journal= {arXiv preprint arXiv:1612.04261},
year = {2017}
}
Comments
27 pages, 11 figures, incorporating referees suggestions. To appear in Geometriae Dedicata