Twisting out fully irreducible automorphisms

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.

32 pages, 7 figures; v2: includes referee's suggestions, additional references and removes the primitive hypothesis from several statements

References in corpus (2)

• Lines of minima in Outer space
• Krull dimension for limit groups III: Scott complexity and adjoining roots to finitely generated groups