Normal $p$-complements and irreducible character codegrees

Jiakuan Lu, Yu Li, Boru Zhang

Let $G$ be a finite group and $p\in \pi (G)$, and let Irr$(G)$ be the set of all irreducible complex characters of $G$. Let $\chi \in \mathrm{Irr}(G)$, we write ${\rm cod}(χ)=|G:{\rm ker} χ|…