Finite Groups Having Monolithic Characters of Prime Degree
نویسندگان
چکیده
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 smallest prime q dividing order of if faithful imprimitive degree q, then becomes nonabelian q-group or Frobenius with cyclic complement whose q. Under certain conditions, also classify groups in which their nonlinear characters are monolithic.
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ژورنال
عنوان ژورنال: Düzce Üniversitesi bilim ve teknoloji dergisi
سال: 2021
ISSN: ['2148-2446']
DOI: https://doi.org/10.29130/dubited.891767