- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 1
- Solvable groups having primitive characters of degree two
Solvable groups having primitive characters of degree two
Authors : Burcu Çinarci, Temha Erkoç
Pages : 228-234
Doi:10.15672/hujms.892294
View : 12 | Download : 7
Publication Date : 2022-02-14
Article Type : Research
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