, Volume 20, Issue 3, pp 657-689
Date: 10 Jul 2010

Twisting Out Fully Irreducible Automorphisms

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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 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.

The second author is partially supported by NSF grant DMS-0856143 and NSF RTG DMS-0602191