# Dynamics on free-by-cyclic groups

@article{Dowdall2015DynamicsOF,
title={Dynamics on free-by-cyclic groups},
author={Spencer Dowdall and Ilya Kapovich and Christopher J. Leininger},
journal={Geometry \& Topology},
year={2015},
volume={19},
pages={2801-2899}
}
• Published 31 January 2013
• Mathematics
• Geometry & Topology
Given a free-by-cyclic group GD FN A’ Z determined by any outer automorphism ’2 Out.FN/ which is represented by an expanding irreducible train-track map f , we construct a K.G;1/ 2‐complex X called the folded mapping torus of f , and equip it with a semiflow. We show that X enjoys many similar properties to those proven by Thurston and Fried for the mapping torus of a pseudo-Anosov homeomorphism. In particular, we construct an open, convex cone A H 1 .XIR/D Hom.GIR/ containing the homomorphism…

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