A lower bound on the number of finite simple groups

Michael E. Mays

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-3

Abstract:

Let S ( n ) = | { m < n : there is a (non-cyclic) simple group of order m } | . Investigation of known families of simple groups provides the lower bound S ( n ) ≫ n 1 / 4 / log n .

Date: 1980
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DOI: 10.1155/S0161171280000592

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