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arXiv · 2305.01451

Fixed points of irreducible, displacement one automorphisms of free products

Matthew Collins
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Abstract

We consider the action of outer automorphisms on the deformation space $\mathcal{O}$ of $G$-trees given by a free product decomposition of a group $G$. We show that an irreducible, displacement 1 automorphism fixes exactly one point in $\mathcal{O}_1$ (the covolume 1 slice of $\mathcal{O}$).

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Matthew Collins. 2023-05-02. Fixed points of irreducible, displacement one automorphisms of free products. https://arxiv.org/abs/2305.01451

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