The simple Ree groups \(^2F_4(q^2)\) are determined by the set of their character degrees.

DOI10.1016/j.jalgebra.2011.04.034zbMath1245.20010arXiv1103.3937OpenAlexW1538022181MaRDI QIDQ663593

Hung P. Tong-Viet

Publication date: 25 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3937

zbMATH Keywords

finite simple groupsirreducible characterssets of character degreessimple Ree groupssimple groups of Lie typeHuppert conjecture

Mathematics Subject Classification ID

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 (7)

On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\). ⋮ A characterization of the simple Ree groups \(^2 F_4( q^2)\) by their character codegrees ⋮ Simple classical groups of Lie type are determined by their character degrees. ⋮ A CHARACTERIZATION OF PSL(4,p) BY SOME CHARACTER DEGREE ⋮ Mathieu groups and its degree prime-power graphs ⋮ Groups with the same character degrees as sporadic quasisimple groups ⋮ PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES

Uses Software

• CHEVIE

Cites Work

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• Groups whose Projective character degrees are powers of a prime
• Die unipotenten charaktere von ²F₄(q²)
• Prime power degree representations of quasi-simple groups

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