Finite groups whose real-valued irreducible characters have prime power degrees

DOI10.1016/j.jalgebra.2022.01.013zbMath1490.20009OpenAlexW4210587217MaRDI QIDQ2075934

Zachary Costanzo, Hung P. Tong-Viet

Publication date: 16 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.01.013

zbMATH Keywords

solvable groupsreal-valued charactersrational-valued characters

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 (1)

Characters of prime power degree in principal blocks

Uses Software

• GAP

Cites Work

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• Coprime subdegrees for primitive permutation groups and completely reducible linear groups.
• Groups whose real irreducible characters have degrees coprime to \(p\).
• Real characters and degrees.
• Primes dividing the degrees of the real characters.
• Finite groups with real-valued irreducible characters of prime degree.
• Degrees of rational characters of finite groups.
• Endliche nicht-auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind
• Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
• Finite non-solvable groups whose real degrees are prime-powers
• Finite groups whose irreducible characters vanish only on \(p\)-elements.
• Group elements and fields of character values
• Nearly odd-order and nearly real finite groups
• Rational irreducible characters and rational conjugacy classes in finite groups
• Real ordinary characters and real Brauer characters
• Prime power degree representations of quasi-simple groups

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