Twisting out fully irreducible automorphisms
Group Theory
2015-03-13 v2
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.
Cite
@article{arxiv.0906.4050,
title = {Twisting out fully irreducible automorphisms},
author = {Matt Clay and Alexandra Pettet},
journal= {arXiv preprint arXiv:0906.4050},
year = {2015}
}
Comments
32 pages, 7 figures; v2: includes referee's suggestions, additional references and removes the primitive hypothesis from several statements