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The mimimally displaced set of an irreducible automorphism of $F_N$ is co-compact by Francaviglia, Stefano; Martino, Armando; Syrigos, Dionysios is a scholarly article available to read on EtoBox.

What is The mimimally displaced set of an irreducible automorphism of $F_N$ is co-compact about?

We study the minimally displaced set of irreducible automorphisms of a free group. Our main result is the co-compactness of the minimally displaced set of an irreducible automorphism with exponential growth $\phi$, under the action of the centraliser $C(\phi)$. As a corollary, we get that the same holds for the action of $<\phi>$ on $Min(\phi)$. Finally, we prove that the minimally displaced set of an irreducible automorphism of growth rate one is consisted of a single point.

Author

Francaviglia, Stefano; Martino, Armando; Syrigos, Dionysios

Published

2020

Language

EN