Characterization of some almost simple groups with socle PSp4(q) by their character degrees

DOI10.1142/s0219498823501670zbMath1522.20040OpenAlexW4224314991MaRDI QIDQ6168668

Ali Iranmanesh, Unnamed Author

Publication date: 11 July 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498823501670

zbMATH Keywords

character degreesalmost simple groupsprojective symplectic groupsHuppert's conjectureprojective conformal symplectic groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05) Representations of finite groups of Lie type (20C33)

Cites Work

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• Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\).
• Character theory of finite groups
• Some simple groups which are determined by the set of their character degrees. I
• On groups with the same character degrees as almost simple groups with socle Mathieu groups
• Extending Huppert's conjecture to almost simple groups of Lie type
• An answer to a question of Isaacs on character degree graphs.
• Brauer characters with cyclotomic field of values.
• Degree graphs of simple orthogonal and symplectic groups.
• Some simple groups which are determined by the set of their character degrees. II.
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• GROUPS WITH THE SAME CHARACTER DEGREES AS SPORADIC ALMOST SIMPLE GROUPS
• PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES
• Character degree graphs that are complete graphs
• Degree Graphs of Simple Linear and Unitary Groups
• The Characters of the Finite Symplectic Group Sp(4,q)

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