Recognition of the simple group \(\mathrm {PSL}(2, p)\) by one character degree and order

DOI10.1007/S00605-015-0849-XzbMath1367.20023OpenAlexW2294054619MaRDI QIDQ504106

Reza Mohammadyari, Alireza Khalili Asboei

Publication date: 25 January 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0849-x

zbMATH Keywords

recognitionprojective special linear groupcharacter degree graph

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
• A New Characterization of SimpleK₃-Groups by Their Orders and Large Degrees of Their Irreducible Characters
• CHARACTERIZING PSL₂(r) BY ITS ORDER AND THE NUMBER OF ITS SYLOW r-SUBGROUPS

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