# 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} }

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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## 32 Citations

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