Thompson's group T has quadratic Dehn function

TL;DR

This paper proves that Thompson's group T and related Higman-Thompson groups have quadratic Dehn functions, indicating specific geometric properties of these groups.

Contribution

It establishes the quadratic Dehn function for Thompson's group T and all Higman-Thompson groups, a significant advancement in understanding their geometric group theory.

Findings

Thompson's group T has quadratic Dehn function

Higman-Thompson groups T_n also have quadratic Dehn functions

Provides new insights into the geometric properties of these groups

Abstract

We prove that Thompson's group $T$ and, more generally, all the Higman-Thompson groups $T_n$ have quadratic Dehn function.