On the relations between the structures of finite groups and their strongly monolithic characters
COMMUNICATIONS IN ALGEBRA, vol.51, no.2, pp.657-662, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 51 Issue: 2
- Publication Date: 2023
- Doi Number: 10.1080/00927872.2022.2107214
- Journal Name: COMMUNICATIONS IN ALGEBRA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.657-662
- Istanbul University Affiliated: Yes
Abstract
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.