On commutators of unipotent matrices of index 2

Kennett L. Dela Rosa, Juan Paolo C. Santos

A commutator of unipotent matrices of index 2 is a matrix of the form $XY{X}^{-1}{Y}^{-1}$, where $X$ and $Y$ are unipotent matrices of index 2, that is, $X\ne I_n$, $Y\ne I_n$, and $(…