The degrees of non-monomial characters and solvability of a finite group

DOI10.1080/00927872.2023.2223631OpenAlexW4381887612MaRDI QIDQ6060304

Neda Ahanjideh, Unnamed Author

Publication date: 3 November 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2223631

zbMATH Keywords

solvable groupprimitive charactermonomial character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Cites Work

• Unnamed Item
• On a generalization of M-group.
• On the average character degree and the average class size in finite groups.
• Nonsolvable groups with few primitive character degrees
• Characters of odd degree and Thompson's character degree theorem
• On the sum of character degrees coprime to \(p\) and \(p\)-nilpotency of finite groups
• The average character degree and \(r\)-solvability of a normal subgroup
• Character degree graphs that are complete graphs
• On the average character degree of finite groups
• A generalization of Taketa’s theorem on M-groups

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