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A New Characterization of PSL(2,q) by Group Order and the Set of Vanishing Element Orders

         

摘要

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 y(p)=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)nd Vo(G)=Vo(PSL(2,q)),where g≥4 is a prime power.

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