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The Spring Topology and Dynamics Conference 2009
March 7-9, 2009
University of Florida
Gainesville, FL, USA

Organizers
Lou Block, Phil Boyland (chair), Beverly Brechner, Sasha Dranishnikov, and Jed Keesling.

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Twisting out fully irreducible automorphisms
by
Matt Clay
University of Oklahoma
Coauthors: Alexandra Pettet

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.

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Date received: February 17, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxy-83.