# Darstellungstheorietage and Nikolaus Conference 2021

Speaker: Benjamin Sambale (Hannover)

Title: Lower Bounds on the Number of Brauer Characters

Abstract:

Let $$G$$ be a finite group with only two conjugacy classes of $$p$$-elements. Apart from two exceptions, we prove that $$G$$ has at least $$p$$ irreducible characters of $$p'$$-degree. Similar results are obtained for principal blocks and Brauer characters. This is joint work with N.N. Hung and P.H. Tiep.