Finite simple groups with number of zeros slightly greater than the number of nonlinear irreducible characters

Abstract

The aim of this paper is to classify the finite simple groups with the number of zeros at most seven greater than the number of nonlinear irreducible characters in the character tables. We find that they are exactly A$_{5}$, L$_{2}(7)$ and A$_{6}$.

Keywords

• finite groups
• Characters
• Zeros of characters