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arXiv · 2206.04010

Strongly contracting axes for fully irreducible automorphisms of Generalized Baumslag-Solitar groups

Chloé Papin
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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.

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Chloé Papin. 2022-06-08. Strongly contracting axes for fully irreducible automorphisms of Generalized Baumslag-Solitar groups. https://arxiv.org/abs/2206.04010

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