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On Composition Factors of Finite Groups Having the Same Set of Element Orders as the Group U3(q) |
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| Authors: | Aleeva M R |
| Institution: | (1) Institute of Mechanics and Mathematics, Ekaterinburg |
| Abstract: | We study the composition factors of a finite nonsolvable group having the same set of order elements as the simple unitary group U 3(q) for an odd q. We prove in particular that for q>5 the (only) nonabelian composition factor of such a group is isomorphic to U 3(q). |
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