On average orders of automorphism groups of bilinear maps over finite fields

Markus Bläser, Yinan Li, Youming Qiao +1

Let $\phi :V\times V\to W$ be a bilinear map of finite vector spaces $V$ and $W$ over a finite field ${\mathbb{F}}_q$. We present asymptotic bounds on the number of isomorphism classes o…