On groups whose irreducible character degrees of all proper subgroups are all prime powers

DOI10.1155/2021/6345386zbMath1477.20014OpenAlexW3170601465MaRDI QIDQ2230050

Shitian Liu

Publication date: 17 September 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6345386

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15)

Uses Software

• GAP Character Table Library
• CTblLib

Cites Work

• Endliche nicht-auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind
• Structure of Ree groups
• Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
• A Diophantine equation which arises in the theory of finite groups
• A new characterization of some alternating and symmetric groups.
• Groups whose irreducible representations have degrees dividing \(p^ 2\)
• A characterization of groups in terms of the degrees of their characters. II
• On a class of doubly transitive groups. II
• Character degrees of extensions of PSL2(q) and SL2(q)
• Endliche Gruppen I
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• Maximal subgroups of finite groups
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