Twisting Out Fully Irreducible Automorphisms
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- Clay, M. & Pettet, A. Geom. Funct. Anal. (2010) 20: 657. doi:10.1007/s00039-010-0072-9
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By a theorem of Thurston, in the subgroup of the mapping class group generated by Dehn twists around two curves which fill, every element not conjugate to a power of one of the twists is pseudo-Anosov. We prove an analogue of this theorem for the outer automorphism group of a free group.