Verifying Huppert's conjecture for \(^2G_2(q^2)\).

DOI10.1007/s10468-009-9206-xzbMath1257.20009OpenAlexW2035177596MaRDI QIDQ434422

Thomas P. Wakefield

Publication date: 10 July 2012

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

Full work available at URL: https://doi.org/10.1007/s10468-009-9206-x

zbMATH Keywords

finite simple groupsirreducible characterssets of character degreessimple groups of Lie typeHuppert conjecturetwisted Ree groups

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)

Related Items (10)

A new characterization of the automorphism groups of Mathieu groups ⋮ On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\). ⋮ On groups with the same character degrees as almost simple groups with socle small Ree groups ⋮ Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\). ⋮ On Huppert's conjecture for the Monster and Baby Monster. ⋮ 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

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• Character degree graphs that are complete graphs
• On Ree's Series of Simple Groups
• Prime power degree representations of quasi-simple groups

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