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On Huppert's conjecture for F_4(2)

Keywords: Character degrees , simple groups , Huppert's Conjecture

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Abstract:

Let $G$ be a finite group and let $text{cd}(G)$ be the set of all complex irreducible character degrees of $G$. B. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $text{cd}(G) =text{cd}(H)$, then $Gcong H times A$, where $A$ is an abelian group. In this paper, we verify the conjecture for $rm{F_4(2)}.$

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