Groups satisfying the two-prime hypothesis with a composition factor isomorphic to ${\mathrm{PSL}}_2(q)$ for $q\ge 7$

Mark L. Lewis, Yanjun Liu, Hung P. Tong-Viet

Let $G$ be a finite group, and write $\mathrm{cd}(G)$ for the degree set of the complex irreducible characters of $G$. The group $G$ is said to satisfy the {\it two-prime hypothesis}…