How can we compute the number of elementary abelian p-subgroups of rank $2$ in $GL_{n}(\mathbb{F}_{p})$?

Let $p$ be a prime number, and let $\mathbb{F}_{p}$ be a finite field of order $p$. Let $GL_{n}(\mathbb{F}_{p})$ denote the general linear group and $U_{n}$ denote the unitriangular group of...

23 August 2020 5,127 3 View