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arXiv · 0906.4050

Twisting out fully irreducible automorphisms

Matt Clay·Alexandra Pettet
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Abstract

By a theorem of Thurston, in the subgroup of the mapping class group generated by Dehn twists around two curves that fill, every element not conjugate to a power of one of the twist is pseudo-Anosov. We prove an analogue of this theorem for the outer automorphism group of a free group.

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Matt Clay, Alexandra Pettet. 2009-06-22. Twisting out fully irreducible automorphisms. https://arxiv.org/abs/0906.4050

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