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Twisting out fully irreducible automorphisms Alexandra Pettet, 5.6.2009, 11h15, MA 10 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 rank n free group. As an application, we show that every element of GL(n,Z) is induced by a nongeometric fully irreducible automorphism. This is joint work with Matt Clay. |