Solvable groups having primitive characters of degree two

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

References

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