Characters of \(p^\prime\)-degree and Thompson's character degree theorem

DOI10.4171/RMI/929zbMath1368.20004arXiv1506.06450MaRDI QIDQ520712

Hung Ngoc Nguyen

Publication date: 5 April 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06450

zbMATH Keywords

finite groupssolvabilitycharacter degrees\(p\)-nilpotencynormal \(p\)-complementThompson's theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (8)

Kernels of \(p'\)-degree irreducible characters ⋮ Methods and questions in character degrees of finite groups ⋮ Unnamed Item ⋮ The average character degree of finite groups and Gluck's conjecture ⋮ Irreducible characters of even degree and normal Sylow 2-subgroups ⋮ Characters of odd degree and Thompson's character degree theorem ⋮ Average number of zeros of characters of finite groups ⋮ On the sum of character degrees coprime to \(p\) and \(p\)-nilpotency of finite groups

Cites Work

• Unnamed Item
• The average degree of an irreducible character of a finite group.
• Controlling composition factors of a finite group by its character degree ratio.
• On a conjecture of Gluck.
• The largest character degrees of the symmetric and alternating groups
• Irreducible characters of even degree and normal Sylow 2-subgroups
• Finite groups with an irreducible character of large degree.

This page was built for publication: Characters of \(p^\prime\)-degree and Thompson's character degree theorem