Published January 1, 2022 | Version v1
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Solvable groups having primitive characters of degree two

  • 1. Piri Reis Univ, Maritime Fac, Dept Marine Engn, TR-34940 Istanbul, Turkey
  • 2. Istanbul Univ, Dept Math, Fac Sci, TR-34134 Istanbul, Turkey

Description

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.

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