Solvable groups having primitive characters of degree two

Authors : Burcu ÇINARCI, Temha ERKOÇ

Pages : 228-234

Doi:10.15672/hujms.892294

View : 20 | Download : 7

Publication Date : 2022-02-14

Article Type : Research Paper

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