On Huppert's conjecture for $F_4(2)$

Document Type: Research Paper

Authors

1 North-West University, Mafikeng Campus

2 Youngstown State University

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 $G\cong H \times A$‎, ‎where $A$ is‎ ‎an abelian group‎. ‎In this paper‎, ‎we verify the conjecture for‎ ‎${F_4(2)}.$‎

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Main Subjects


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