Huppert's Conjecture for finite simple exceptional groups of Lie type

2024/05/13 by Tong-Viet, Hung P.
#20C15 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2405.07422

Abstract

Let G be a finite group and let \textrmcd(G) be the set of all complex irreducible character degrees of G. In this paper, we show that if \textrmcd(G)=\textrmcd(H), where H is a finite simple exceptional group of Lie type, then G≅ H× A, where A is an abelian group. This completes the verification of Huppert's Conjecture for all finite simple exceptional groups of Lie type.

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