On finite simple groups of cube order

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  • Katayama Shinichi
    Department of Mathematical and Natural Sciences,Faculty of Integrated Arts and Sciences,The University of Tokushima

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In [17] ，M. Newman，D. Shanks and H. C. Williams have shown that the order of a symplectic group Sp (2n，Fq) is square if and only if n = 2 and q = p. Here p is a prime called a NSW prime. In this paper，we shall show that there is no symplectic group of cube order.

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