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 $\chi$ be an irreducible character of $G$. The codegree of $\chi$ is defined as ${\chi }^c(1)=\frac{|G:\ker \chi |}{\chi (1)}$. In a paper by Gao, Wang, and Chen, it was…