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arXiv:2305.01451 [math.GR]AbstractReferencesReviewsResources

Fixed points of irreducible, displacement one automorphisms of free products

Matthew Collins

Published 2023-05-02Version 1

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 $\mathcal{O}$).

Categories: math.GR
Subjects: 20F65, 20E36, 20E08
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