On the degrees of irreducible characters fixed by some field automorphism in finite groups

DOI10.1112/BLMS.13186MaRDI QIDQ6663901

Nicola Grittini

Publication date: 15 January 2025

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

irreducible characterGalois authomorphismIto-Michler Theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Cites Work

• Title not available (Why is that?)
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• Primes dividing the degrees of the real characters.
• The finite groups with no real \(p\)-elements.
• Regular orbits of quasisimple linear groups. I
• Odd-degree rational irreducible characters
• On the number of irreducible real-valued characters of a finite group
• \(p\)-length and character degrees in \(p\)-solvable groups
• Spectra of finite simple groups \(E_6(q)\) and \(^2E_6(q)\).
• Arithmetic results on orbits of linear groups
• Prime divisors of character degrees
• The Finite Simple Groups
• The Affine Permutation Groups of Rank Three
• Character Theory and the McKay Conjecture
• Defect zero blocks for finite simple groups
• The fields of values of characters of degree not divisible byp
• The Character Theory of Finite Groups of Lie Type
• Rational irreducible characters and rational conjugacy classes in finite groups
• Endliche Gruppen I
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)
• Character correspondences in solvable groups
• On the degrees of irreducible characters fixed by some field automorphism in 𝑝-solvable groups
• Minimal heights and defect groups with two character degrees
• Height zero conjecture with Galois automorphisms
• Odd degree rational characters and the order of rational elements in finite groups

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