## Topology & Geometric Group Theory Seminar

## Spring 2009

### 1:30 – 2:30, Malott 207

Tuesday, January 27

** Justin
Moore**, Cornell University

*Fast growth in Følner sets for Thompson's group F*

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) = 2^{H(n)}.

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