$p$-constant characters in finite groups

Abstract: Let $p$ be a prime number; an irreducible character of a finite group $G$ is called $p$-constant if it takes a constant value on all the elements of G whose order is divisible by $p$ ($p$-singular elements). Irreducible characters of $p$-defect zero are, by a classical result or R. Brauer, an important instance of this class of characters: they take value zero on every $p$-singular element. I will present some results on faithful $p$-constant characters of 'positive defect'; in particular, a characterization of the finite $p$-solvable groups having a character of this type (joint work with E. Pacifici and L. Sanus).

group theory

Audience: researchers in the topic

Finite Groups in Valencia

Series comments: The seminar meets weekly from February 26th to March 30th 2021.

For a detailed schedule and registration details, please visit the seminar webpage at

sites.google.com/view/finite-groups-seminar2021