Subgroups of Thompson’s group F can be very complex. We give a family of elementary amenable subgroups that models a large initial segment of countable ordinals. The family models not only the order structure but also the basic operations of sum, product and exponentiation with base ω. Part of the appeal of the family is its ease of description.
This is joint work with Collin Bleak and Justin Moore.
This video is part of the New York Group Theory Cooperative‘s group theory seminar series.
