The Dehn function of Richard Thompson's group $T$

Abstract

V.S.Guba had proved that the R.Thompson group $T$ satisfies polynomial isoperimetric inequality and ${\Phi }_T(n)⪯n^7$, where ${\Phi }_T$ is the Dehn function of group $T$. In this paper, we show that ${\Phi }_T(n)⪯n^5$.

arXiv comment9 pages, 8 figures. We correct some typos and some gramma problems