Maximal linear groups induced on the Frattini quotient of a $p$-group

John Bamberg, S. P. Glasby, Luke Morgan +1

Let $p>3$ be a prime. For each maximal subgroup $H⩽\mathrm{GL}(d,p)$ with $|H|⩾p^{3d+1}$, we construct a $d$-generator finite $p$-group $G$ with the property that…