A characterization of finite groups having a single Galois conjugacy class of certain irreducible characters

DOI10.1515/jgth-2022-0215zbMath1530.20033OpenAlexW4385187439MaRDI QIDQ6146263

Dongfang Yang, Yu Zeng

Publication date: 10 January 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2022-0215

zbMATH Keywords

finite groupirreducible characterFitting heightcharacter codegree

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)

Cites Work

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• The Sylow 2-subgroups of the finite classical groups
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• A character theoretic condition characterizing nilpotent groups
• Endliche Gruppen I

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