Solvable groups having primitive characters of degree two

Cinarci, Burcu; Erkoç , TEMHA

doi:10.15672/hujms.892294

Solvable groups having primitive characters of degree two

Cinarci B., Erkoç T.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, sa.1, ss.228-234, 2022 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 51 Sayı: 1
Basım Tarihi: 2022
Doi Numarası: 10.15672/hujms.892294
Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.228-234
Anahtar Kelimeler: solvable groups, primitive characters, monolithic characters, real-valued characters
İstanbul Üniversitesi Adresli: Evet

Özet

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.