Atlas home || Conferences | Abstracts | about Atlas

The Spring Topology and Dynamics Conference 2009
March 7-9, 2009
University of Florida
Gainesville, FL, USA

Organizers
Lou Block, Phil Boyland (chair), Beverly Brechner, Sasha Dranishnikov, and Jed Keesling.

View Abstracts
Conference Homepage

Fast growth in Følner sets for Thompson's group F
by
Justin Moore
Cornell University

While it is not known whether Thompson's group F is amenable, I will establish a lower bound on the size of trees occurring in Følner sets. In particular, I will demonstrate the following: There is a constant C > 1 such that if A is a C-4n-Følner set in F, then A contains an element whose tree diagram has at least H(n) elements, where H(0) = 0 and H(n+1) = 2H(n).

PDF

Date received: February 16, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxy-77.