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arXiv · 2309.04569

Dynamics of iwip automorphisms of free products

Ioannis Papavasileiou·Dionysios Syrigos
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Abstract

Let $G$ be a free product and $\mathrm{Out}(G)$ the outer automorphism group of $G$. In this article using the theory of laminations we give a criterion for a subgroup $H$ of $\mathrm{Out}(G)$ to contain a nonabelian free subgroup. We also study the centraliser of an iwip element of $\mathrm{Out}(G)$ and the stabiliser of its associated lamination.

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Ioannis Papavasileiou, Dionysios Syrigos. 2023-09-08. Dynamics of iwip automorphisms of free products. https://arxiv.org/abs/2309.04569

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