Geometric and Functional Analysis

, Volume 20, Issue 3, pp 657-689

First online:

Twisting Out Fully Irreducible Automorphisms

  • Matt ClayAffiliated withDept. of Mathematics, Allegheny College Email author 
  • , Alexandra PettetAffiliated withDept. of Mathematics, University of Michigan

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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.

Keywords and phrases

Free group automorphism Dehn twist pseudo-Anosov

2010 Mathematics Subject Classification

20F65 20E36 20E05