Characters of ${\pi }^{\prime }$-degree

Eugenio Giannelli, Mandi Schaeffer Fry, Carolina Vallejo

Let $G$ be a finite group and let $\pi$ be a set of primes. Write ${\mathrm{Irr}}_{{\pi }^{\prime }}(G)$ for the set of irreducible characters of degree not divisible by any prime in $\pi$. We show th…