Degrees of characters in the principal block

Abstract: Let $G$ be a finite group and let $p$ be a prime. The set of complex irreducible characters in the principal $p$-block of $G$ is rich enough that their degrees encode information of the structure of the group $G$. We study the case where the set of degrees of characters in the principal $p$-block of $G$ has size at most $2$, finding information about the structure of $G$ and its Sylow $p$-subgroups. We will also show some related results on similar problems for arbitrary $p$-blocks.

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