Finite Groups Having Monolithic Characters of Prime Degree

Let G be a finite group. An irreducible character χ is called monolithic when the factor group G/ker⁡(χ) has unique minimal normal subgroup. In this paper, we prove that for the smallest prime q dividing the order of G if G has a faithful imprimitive monolithic character of degree q, then G become...

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Bibliographic Details
Main Authors: Temha Erkoç, Burcu Çınarcı
Format: Article
Language:English
Published: Düzce University 2021-07-01
Series:Düzce Üniversitesi Bilim ve Teknoloji Dergisi
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1620120