The group of dyadic orientation-preserving piecewise linear (PL) homeomorphisms of the unit interval is called Thompson’s group F, and the question of which groups are – or cannot be – subgroups of F has yielded many interesting results. In this talk I’ll discuss the question of what groups can or cannot be subgroups of Aut(F) (the automorphism group of F), and more particularly subgroups of an index 2 subgroup of Aut(F) that is isomorphic to a group of dyadic PL homeomorphisms of the real line.
This is joint work (in progress) with Conchita Martinez-Perez.
This video is part of the New York Group Theory Cooperative‘s group theory seminar series.
