Character degree sums in finite nonsolvable groups

DOI10.1515/JGT.2010.041zbMath1242.20012arXiv0912.0875OpenAlexW2964092422MaRDI QIDQ3083482

Hung P. Tong-Viet, Kay Magaard

Publication date: 22 March 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0875

zbMATH Keywords

irreducible complex characterscharacter degreesrepresentations of finite groupsrestrictions of charactersfinite nonsolvable groupsextensions of characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (15)

The average degree of an irreducible character of a finite group. ⋮ On groups with large character degree sums. ⋮ Unnamed Item ⋮ The average character degree of finite groups and Gluck's conjecture ⋮ The square-free hypothesis on co-degrees of irreducible characters ⋮ Finite groups with some restriction on the vanishing set ⋮ On the average character degree and the average class size in finite groups. ⋮ Variations on average character degrees and \(p\)-nilpotence ⋮ On the average character degree of finite groups ⋮ Average number of zeros of characters of finite groups ⋮ $4$-Regular prime graphs of nonsolvable groups ⋮ On the orders of vanishing elements of finite groups ⋮ Finite groups with special codegrees ⋮ Finite groups with few character zeros ⋮ On the existence of Johnson polynomials for nilpotent groups.

Cites Work

• Complex group algebras of finite groups: Brauer's problem 1.
• On sums of degrees of irreducible characters
• Character degree graphs that are complete graphs

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