Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\).

DOI10.1007/s10468-010-9246-2zbMath1243.20019OpenAlexW2054141441MaRDI QIDQ421484

Thomas P. Wakefield

Publication date: 24 May 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-010-9246-2

zbMATH Keywords

finite simple groupsirreducible charactersprojective symplectic groupssets of character degreessimple groups of Lie typeHuppert conjecture

Mathematics Subject Classification ID

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

Related Items (8)

A new characterization of the automorphism groups of Mathieu groups ⋮ Characterization of some almost simple groups with socle PSp4(q) by their character degrees ⋮ Some nonsolvable character degree sets ⋮ Extending Huppert's conjecture to almost simple groups of Lie type ⋮ Mathieu groups and its degree prime-power graphs ⋮ Some character degree sets implying nonsolvability ⋮ On Huppert's Conjecture for Alternating Groups of Low Degrees ⋮ PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES

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