The McKay conjecture with coprime group automorphisms and the Okuyama-Wajima argument

Adele Maltempo, Carolina Vallejo

Let $A$ and $G$ be finite groups. Suppose that $A$ acts coprimely on $G$ stabilizing $N◃G$. Let $\theta \in \mathrm{Irr}(\mathrm{N})$ be $A$-invariant. We prove that the number of $A$-in…