Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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RECOGNITION OF THE LINEAR GROUPS OVER THE BINARY FIELD BY THE SET OF THEIR ELEMENT ORDERS

M. R. DARAFSHEH, Y. FARJAMI, A. MAHMIANI

pp. 27-38

Abstract

In this paper we will prove that the simple group $PSL_{14}(2)$ is recognizable by the set of its element orders, that is to say if $G$ is a 1nite group with the same set of element orders as $PSL_{14}(2)$, then $G \cong PSL_{14}(2)$.