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An element g in a finite group G is called a vanishing element if there exists some irreducible complex character x of G such that x(g) =0.Denote by Vo(G) the set of orders of vanishing elements of G,and we prove that G ≌ PSL(2,q) if and only if |G| =|PSL(2,q)| and Vo(G) =Vo(PSL(2,q)),where q ≥ 4 is a prime power.