On the degrees of irreducible characters fixed by some field automorphism in 𝑝-solvable groups

DOI10.1090/proc/16403zbMath1529.20009arXiv2011.03804OpenAlexW4318828382MaRDI QIDQ6052127

Nicola Grittini

Publication date: 21 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03804

zbMATH Keywords

irreducible characters\(p\)-solvable groupsSylow subgroupsfinite groups of Lie typeIto-Michler theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Unnamed Item
• Primes dividing the degrees of the real characters.
• Odd-degree rational irreducible characters
• The Finite Simple Groups
• The Character Theory of Finite Groups of Lie Type
• Rational irreducible characters and rational conjugacy classes in finite groups
• Height zero conjecture with Galois automorphisms

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