Twisting out fully irreducible automorphisms
classification
🧮 math.GR
keywords
grouptheoremanaloguearoundautomorphismautomorphismsclassconjugate
read the original 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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