Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$

Chris Parker, B. G. Rodrigues

Let $p$ be a prime, $G$ be a finite group, $H$ a proper subgroup of $G$ and $V$ a finite dimensional $GF(p)G$-module. The triple $(G,H,V)$ is immutable if and only if $G$ and $H$ h…