Twisting out fully irreducible automorphisms

Details Twisting out fully irreducible automorphisms Twisting out fully irreducible automorphisms

2009-06-22

arxiv.org/abs/0906.4050v2

Mathematics

Group Theory

32 pages, 7 figures; v2: includes referee's suggestions, additional references and removes the primitive hypothesis from sever

Scientific paper

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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