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A New Characterization Of PSU(3,Q) By Group Order And The Set Of Vanishing Element Orders
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A New Characterization Of PSU(3,Q) By Group Order And The Set Of Vanishing Element Orders
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Abstract
Let G be a finite group. In this paper, it is prove that the projective special unitary groups PSU(3,q), where q > 5 is a prime power can be characterized by their vanishing element orders together with their orders. Keywords: Vanishing element, Finite simple groups, Vanishing prime graph, Thompson’ conjecture. Mathematics Subject Classification (2010): 20C15, 20D05.
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