A CHARACTERIZATION OF PSL(4,p) BY SOME CHARACTER DEGREE

DOI10.22190/FUMI1904679RzbMath1474.20011OpenAlexW3011368938MaRDI QIDQ3388610

Younes Rezayi, Ali Iranmanesh

Publication date: 6 May 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi1904679r

zbMATH Keywords

ordercharacter degreesprojective special linear group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Cites Work

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• A new characterization of Mathieu-groups by the order and one irreducible character degree.
• Recognition of \(\text{PSL}(2,p)\) by order and some information on its character degrees where \(p\) is a prime
• The simple Ree groups \(^2F_4(q^2)\) are determined by the set of their character degrees.
• Character theory of finite groups
• Simple classical groups of Lie type are determined by their character degrees.
• Some simple groups which are determined by the set of their character degrees. II.
• PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES
• Character degree graphs and normal subgroups
• A new characterization for the simple group PSL(2, p 2) by order and some character degrees
• Nonsolvable groups with no prime dividing three character degrees.
• Prime power degree representations of quasi-simple groups

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