Simple groups with few irreducible character degrees

DOI10.1142/S0219498821501395zbMath1482.20005OpenAlexW3036994292MaRDI QIDQ5157745

Kamal Aziziheris, Farrokh Shirjian, Farideh Shafiei

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821501395

zbMATH Keywords

character degreessimple groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite simple groups and their classification (20D05)

Related Items (5)

On the characterization of some non-abelian simple groups with few codegrees ⋮ RECOGNISING REE GROUPS USING THE CODEGREE SET ⋮ On the characterization of some non-abelian simple groups using codegree set ⋮ ON THE CHARACTERISATION OF SPORADIC SIMPLE GROUPS BY CODEGREES ⋮ Huppert's analogue conjecture for \({\mathrm{PSL}}(3,q)\) and \({\mathrm{PSU}}(3,q)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the inductive McKay condition in the defining characteristic.
• Remarks on symbols, hooks and degrees of unipotent characters
• The characters of the finite symplectic group Sp(4,q), q=2\(^f\)
• Nonsolvable groups with few character degrees.
• Recognition of finite quasi-simple groups by the degrees of their irreducible representations
• PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• On the Number of Components of a Graph Related to Character Degrees
• On Zsigmondy primes
• Non-solvable groups having five irreducible character degrees
• Height 0 characters of finite groups of Lie type
• On Ree's Series of Simple Groups
• The Characters of the Finite Symplectic Group Sp(4,q)
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• On a class of doubly transitive groups

This page was built for publication: Simple groups with few irreducible character degrees