Maximal length elements of excess zero in finite Coxeter groups

Sarah B. Hart, Peter J. Rowley

The excess of an element $w$ of a finite Coxeter group $W$ is the minimal value of $l(x)+l(y)-l(w)$, where $x$, $y$ are elements of $W$ such that $x^2=y^2=1$ and $w=xy$.…