Groups which do not have four irreducible characters of degrees divisible by a prime \(p\)

DOI10.1016/J.JPAA.2018.07.003zbMath1502.20005OpenAlexW2869576372WikidataQ129642734 ScholiaQ129642734MaRDI QIDQ1634856

Mehdi Ghaffarzadeh, Fereydoon Alizadeh, Mohsen Ghasemi, Houshang Behravesh

Publication date: 18 December 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.07.003

zbMATH Keywords

finite groupsirreducible characters

Mathematics Subject Classification ID

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

Uses Software

• GAP

Cites Work

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• Finite solvable groups whose character graphs are trees.
• Finite solvable groups with at most two nonlinear irreducible characters of each degree.
• Finite nonsolvable groups whose character graphs have no triangles.
• Character theory of finite groups
• Finite groups with graphs containing no triangles
• Finite solvable groups in which only two nonlinear irreducible characters have equal degrees
• Nonsolvable groups with no prime dividing four character degrees
• Finite groups whose conjugacy class graphs have few vertices.
• On the Number of Components of a Graph Related to Character Degrees
• Finite Groups in which the Degrees of the Nonlinear Irreducible Characters are Distinct
• Coprimeness among irreducible character degrees of finite solvable groups
• On a class of doubly transitive groups
• Nonsolvable groups with no prime dividing three character degrees.

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