logo_acta

Acta Mathematica Vietnamica

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

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

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 $G \cong PSL_{14}(2)$.