Solvable groups having primitive characters of degree two

Cinarci B., Erkoç T.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.51, no.1, pp.228-234, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.15672/hujms.892294
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.228-234
  • Keywords: solvable groups, primitive characters, monolithic characters, real-valued characters
  • Istanbul University Affiliated: Yes

Abstract

In this paper, we are interested in the classification of finite solvable groups having primitive characters of degree two. We first determine all finite solvable groups having both a faithful primitive character of degree two and a faithful real-valued irreducible character. Then we classify all finite solvable groups having at most five nonlinear monolithic characters one of which is primitive of degree two.