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Strongly contracting axes for fully irreducible automorphisms of Generalized Baumslag-Solitar groups (2206.04010v1)
Published 8 Jun 2022 in math.GR
Abstract: Similarly to the action of $Out(F_N)$ on Outer Space, the outer automorphism group of a Generalized Baumslag Solitar group acts on a deformation space endowed with the Lipschitz metric and the action of any fully irreducible automorphism with a train track representative is hyperbolic. Inspired by previous work by Algom-Kfir, we prove that the axis of such an automorphism is strongly contracting.