On the multiplicities of the character codegrees of finite groups

DOI10.1007/s10468-022-10183-wzbMath1530.20019arXiv2105.14456OpenAlexW4309874171MaRDI QIDQ6146909

Zeinab Akhlaghi, Maryam Khatami, Mehdi Ebrahimi

Publication date: 15 January 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14456

zbMATH Keywords

finite groupirreducible charactercharacter degreecodegree

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Cites Work

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• Finite groups with coprime character degrees and codegrees
• Finite nonsolvable groups with many distinct character degrees.
• The analog of Huppert's conjecture on character codegrees
• Solvable \(D_2\)-groups
• Complex group algebras of finite groups: Brauer's problem 1.
• Nonsolvable \(D_2\)-groups.
• Groups whose non-linear irreducible characters are rational valued.
• Groups with distinct monolithic character degrees
• Finite nonsolvable groups in which only two nonlinear irreducible characters have equal degrees
• Finite solvable groups in which only two nonlinear irreducible characters have equal degrees
• A dual version of Huppert's \(\rho\)-\(\sigma\) conjecture for character codegrees
• Co-degrees of irreducible characters in finite groups.
• Codegrees and nilpotence class of \(p\)-groups.
• Character degree graphs that are complete graphs
• Finite Groups in which the Degrees of the Nonlinear Irreducible Characters are Distinct
• AN ANALOGUE OF HUPPERT’S CONJECTURE FOR CHARACTER CODEGREES
• On the multiplicity of character degrees of nonsolvable groups
• Symmetric group character degrees and hook numbers

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