Geometric and Functional Analysis

, Volume 20, Issue 3, pp 657–689

Twisting Out Fully Irreducible Automorphisms

Article

DOI: 10.1007/s00039-010-0072-9

Cite this article as:
Clay, M. & Pettet, A. Geom. Funct. Anal. (2010) 20: 657. doi:10.1007/s00039-010-0072-9

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.

Keywords and phrases

Free groupautomorphismDehn twistpseudo-Anosov

2010 Mathematics Subject Classification

20F6520E3620E05

Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Dept. of MathematicsAllegheny CollegeMeadvilleUSA
  2. 2.Dept. of MathematicsUniversity of MichiganAnn ArborUSA