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Distortion for Abelian Subgroups of $\mathrm{Out}(F_n)$

Published 4 Dec 2016 in math.GR | (1612.01134v2)

Abstract: We prove that abelian subgroups of the outer automorphism group of a free group are quasi-isometrically embedded. Our proof uses recent developments in the theory of train track maps by Feighn-Handel. As an application, we prove the rank conjecture for $\mathrm{Out}(F_n)$.

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Authors (1)

  1. Derrick Wigglesworth 

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