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

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$_{6}$.

Bibliographic Details
Main Author: Guangju Zeng
Format: Article
Language:English
Published: University of Isfahan 2012-12-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=1518&_ob=8d0839410be2400287196a5047b6c37c&fileName=full_text.pdf