Topology Seminar: An algorithm for checking full irreducibility of elements in the outer automorphism group of a free group

Seminar | February 3 | 4:10-5 p.m. | 3 Evans Hall

 Alexandra Pettet, University of British Columbia

 Department of Mathematics

A fully irreducible element of the outer automorphism group Out(F) of a free group F is defined by the property that no power preserves the conjugacy class of any proper free factor of F. We describe an algorithm for determining whether a given element of Out(F) has this property. This is joint work with Matt Clay and Johanna Mangahas.