Finite groups of rank two which do not involve $Qd(p)$

Muhammet Yasir Kızmaz, Ergun Yalcin

Let $p>3$ be a prime. We show that if $G$ is a finite group with $p$-rank equal to 2, then $G$ involves $Qd(p)$ if and only if $G$ $p^{\prime }$-involves $Qd(p)$. This allows us to use a ve…