Codegrees of Irreducible Characters of VZ and Camina $p$-Groups

Abstract

The character codegree of an irreducible character of a finite group $G$ is given by the index of its kernel in $G$ upon the character degree. We compute the codegrees of irreducible characters of VZ and Camina $p$-groups, and also obtain the character codegrees set of $p$-groups of order $\le p^5$, where $p$ is an odd prime.