On the relations between the structures of finite groups and their strongly monolithic characters

Ozkan J. M., ERKOÇ T.

COMMUNICATIONS IN ALGEBRA, cilt.51, sa.2, ss.657-662, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/00927872.2022.2107214
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.657-662
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we prove that all finite groups having at most three strongly monolithic characters are solvable. We also give some criteria for nilpotency of finite groups by their strongly monolithic characters. Finally, we classify all finite groups whose nonlinear irreducible characters are monolithic, exactly two of which are strongly monolithic.