On groups with square-free gcd of character degree and codegree

Karam Aldahleh, Alan Kappler, Neil Makur +1

Let $G$ be a finite group and $\ddot{I}‡$ be an irreducible character of $G$. The codegree of $\ddot{I}‡$ is defined as $\ddot{I}{‡}^c(1)=\frac{|G:\ker \ddot{I}‡|}{\ddot{I}‡(1)}$. In a paper by Gao, Wang, and Chen, i…