On Huppert's conjecture for \(^3D_4(q)\), \(q\geq 3\).

DOI10.1007/s10468-011-9316-0zbMath1268.20016OpenAlexW1996304177MaRDI QIDQ1950439

Thomas P. Wakefield, Hung P. Tong-Viet

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1007/s10468-011-9316-0

zbMATH Keywords

finite simple groupsexceptional groups of Lie typeirreducible characterssets of character degreesHuppert conjecture

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 (5)

Groups with some cube-free irreducible character co-degrees ⋮ On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\). ⋮ Extending Huppert's conjecture to almost simple groups of Lie type ⋮ Mathieu groups and its degree prime-power graphs ⋮ Recognition of \(\mathrm{PSL}(2, p^2)\) by order and some properties on character degrees

Uses Software

• GAP

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• Einige Bemerkungen über die Darstellung ganzer Zahlen durch binäre kubische Formen mit positiver Diskriminante
• Prime power degree representations of quasi-simple groups

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