Multiplicities of fields of values of irreducible characters of finite groups

DOI10.1090/proc/15566OpenAlexW3157081580MaRDI QIDQ5012091

Alexander Moretó

Publication date: 31 August 2021

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

Full work available at URL: https://doi.org/10.1090/proc/15566

zbMATH Keywords

Galois extensionfield of valuesirreducible characternumber of conjugacy classes

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (5)

Degrees and fields of values of irreducible characters ⋮ Methods and questions in character degrees of finite groups ⋮ Groups with small multiplicities of fields of values of irreducible characters ⋮ Relative character conductors ⋮ Field of values of cut groups and \(k\)-rational groups

Cites Work

• Multiplicities of conjugacy class sizes of finite groups.
• Complex group algebras of finite groups: Brauer's problem 1.
• On finite rational groups and related topics
• Big primes and character values for solvable groups
• Finite groups with many conjugate elements
• On groups with conjugacy classes of distinct sizes.
• On the number of conjugacy classes of zeros of characters.
• On character tables of wreath products
• The \(S_ 3\)-conjecture for solvable groups
• Quadratic rational solvable groups.
• On the number of irreducible real-valued characters of a finite group
• The average element order and the number of conjugacy classes of finite groups
• Non-abelian composition factors of \(m\)-rational groups
• Symmetric group character degrees and hook numbers
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