On the sum of character degrees coprime to \(p\) and \(p\)-nilpotency of finite groups

DOI10.1016/j.jpaa.2021.106691zbMath1483.20014OpenAlexW3119579515MaRDI QIDQ2031607

Hung Ngoc Nguyen, Yong Yang, Hong Fei Pan

Publication date: 9 June 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106691

zbMATH Keywords

solvable groupsnormal \(p\)-complementcharacter degrees sum

Mathematics Subject Classification ID

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

Related Items (2)

The degrees of non-monomial characters and solvability of a finite group ⋮ Characters of odd degree and Thompson's character degree theorem

Uses Software

• GAP

Cites Work

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• Characters of \(p^\prime\)-degree and Thompson's character degree theorem
• Character theory of finite groups
• On groups with large character degree sums.
• Character degree sums of finite groups.
• A characterization of groups in terms of the degrees of their characters
• A characterization of groups in terms of the degrees of their characters. II
• Normal \(p\)-complements and irreducible characters
• Characters of Solvable Groups
• On the average character degree of finite groups
• Endliche Gruppen I

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