Groups whose real irreducible characters have degrees coprime to \(p\).

DOI10.1016/j.jalgebra.2012.02.007zbMath1259.20007OpenAlexW2067123329MaRDI QIDQ713398

I. M. Isaacs, Gabriel Navarro

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.02.007

zbMATH Keywords

finite groupsSylow subgroupscharacter degreesreal charactersItô-Michler theoremreal-valued irreducible characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (10)

Real class sizes ⋮ Finite non-solvable groups whose real degrees are prime-powers ⋮ Variations on the Itô-Michler theorem on character degrees ⋮ Brauer correspondent blocks with one simple module ⋮ A real version of Thompson's theorem on degrees ⋮ Character correspondences in blocks with normal defect groups. ⋮ Irreducible characters of even degree and normal Sylow 2-subgroups ⋮ On the character tables of symmetric groups ⋮ Finite groups whose real-valued irreducible characters have prime power degrees ⋮ Real ordinary characters and real Brauer characters

Cites Work

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• Primes dividing the degrees of the real characters.
• New refinements of the McKay conjecture for arbitrary finite groups
• Orbit sizes, local subgroups and chains of p-groups
• The Real Part of the Character Table of a Finite Group
• Rational irreducible characters and rational conjugacy classes in finite groups
• Some Studies on Group Characters
• On the Degrees of Irreducible Representations of a Finite Group

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