Square roots of Thompson's group F
Time and place
12:20 PM on Thursday, March 23rd, 2017; NAC 6/113
Thomas Koberda (University of Virginia)
Abstract
I will discuss square roots of Thompson's group F, which are certain two-generator subgroups of the homeomorphism group of the interval, the squares of which generate a copy of Thompson's group F. We prove that these groups may contain non-abelian free groups, they can fail to be smoothable, and can fail to be finitely presented. This represents joint work with Y. Lodha.