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A new characterization of projective special unitary groups \(U_3(3^n)\) by the order of group and the number of elements with the same order. (English) Zbl 1513.20025

Summary: In this paper, we prove that projective special unitary groups \(U_3(3^n)\), where \(3^{2n}-3^n+1\) is a prime number and \(3^n \equiv\pm2\pmod 5\), can be uniquely determined by the order of group and the number of elements with the same order.

MSC:

20D06 Simple groups: alternating groups and groups of Lie type
20D60 Arithmetic and combinatorial problems involving abstract finite groups
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References:

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