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Translation lengths in Out(F_n)

Emina Alibegovic
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Abstract

We prove that all elements of infinite order in $Out(F_n)$ have positive translation lengths; moreover, they are bounded away from zero. Consequences include a new proof that solvable subgroups of $Out(F_n)$ are finitely generated and virtually abelian and the new result that such subgroups are quasi-convex.

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Emina Alibegovic. 2000-10-03. Translation lengths in Out(F_n). https://arxiv.org/abs/math/0009191

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