Finite non-solvable groups with few 2-parts of co-degrees of irreducible characters
For a character $ \chi $ of a finite group $ G $, the number $ \chi^c(1)=\frac{[G:{\rm ker}\chi]}{\chi(1)} $ is called the co-degree of $ \chi $. Let ${\rm Sol}(G)$ denote the solvable radical of $G$. In this paper, we show that if $G$ is a finite non-solvable group with $\{\chi^c(1)_2:\chi \in {\rm...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Amirkabir University of Technology
2023-02-01
|
Series: | AUT Journal of Mathematics and Computing |
Subjects: | |
Online Access: | https://ajmc.aut.ac.ir/article_4993_0a9857600ac28625b7b6368698f45ead.pdf |