Finite groups with only one strongly monolithic character

Dolfi S., Erkoç T.

COMMUNICATIONS IN ALGEBRA, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/00927872.2025.2584409
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • İstanbul Üniversitesi Adresli: Evet

Özet

The set of strongly monolithic characters of a finite group G, although a relatively small subset of the set of all irreducible complex characters of G, exerts substantial control over the structure of G. In this paper, we classify all finite groups for which this set contains exactly one element.