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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Aleeva, M.R. On Composition Factors of Finite Groups Having the Same Set of Element Orders as the Group U3(q). Siberian Mathematical Journal 43, 195–211 (2002). https://doi.org/10.1023/A:1014730819746
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DOI: https://doi.org/10.1023/A:1014730819746