SOME CRITERIA FOR SOLVABILITY AND NILPOTENCY OF FINITE GROUPS BY STRONGLY MONOLITHIC CHARACTERS

Gungor S. B., ERKOÇ T.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.108, sa.1, ss.120-124, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 108 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1017/s0004972722000958
  • Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.120-124
  • İstanbul Üniversitesi Adresli: Evet

Özet

Gagola and Lewis ['A character theoretic condition characterizing nilpotent groups', Comm. Algebra27 (1999), 1053-1056] proved that a finite group G is nilpotent if and only if chi(1)(2) divides vertical bar G:ker chi vertical bar for every irreducible character chi of G. The theorem was later generalised by using monolithic characters. We generalise the theorem further considering only strongly monolithic characters. We also give some criteria for solvability and nilpotency of finite groups by their strongly monolithic characters.