Fast growth in Folner sets for Thompson's group F

TL;DR

This paper establishes a lower bound on the Folner function for Thompson's group F, shedding light on its growth properties and contributing to the understanding of its geometric and algebraic structure.

Contribution

It provides the first known lower bound on the Folner function for Thompson's group F, advancing the analysis of its amenability and geometric properties.

Findings

Established a lower bound on Folner function growth

Enhanced understanding of Thompson's group F structure

Contributed to geometric group theory literature

Abstract

The purpose of this note is to prove a lower bound on the Folner function for Thompson's groups F.