Finite groups with only one strongly monolithic character
COMMUNICATIONS IN ALGEBRA, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2025
- Doi Number: 10.1080/00927872.2025.2584409
- Journal Name: COMMUNICATIONS IN ALGEBRA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Istanbul University Affiliated: Yes
Abstract
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.