Solvable groups having primitive characters of degree two

Year 2022, Volume: 51 Issue: 1, 228 - 234, 14.02.2022

Burcu Çınarcı , Temha Erkoç

https://doi.org/10.15672/hujms.892294

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.

Keywords

Solvable groups , Primitive characters , Monolithic characters , Real-valued Character

Project Number

119F295

References

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