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...

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Bibliographic Details
Main Author: Neda Ahanjideh
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