Kirillov's orbit method and polynomiality of the faithful dimension of $p$-groups

Mohammad Bardestani, Keivan Mallahi-Karai, Hadi Salmasian

Given a finite group $\mathrm{G}$ and a field $K$, the faithful dimension of $\mathrm{G}$ over $K$ is defined to be the smallest integer $n$ such that $\mathrm{G}$ embeds into $\ma…