OD-characterization of all finite nonabelian simple groups with orders having prime divisors at most 13 |
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Authors: | P. Nosratpour M. R. Darafsheh |
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Affiliation: | 1. Department of Mathematics, Ilam Branch, Islamic Azad University, Ilam, Iran 2. School of Mathematics, Statistics and Computer Science College of Science, University of Tehran, Tehran, Iran
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Abstract: | The main purpose of this article is to determine h OD (M) for every finite nonabelian simple group M with order having prime divisors at most 13. This result is an analog of the result by A. V. Vasil’ev [1] about the recognizability of these simple groups by spectrum (the set of element orders). By the available results, we need only consider the groups L 6(3), U 4(5), G 2(4), L 5(3), S 4(8), U 6(2), and O 8 + (3). |
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