Abstract
We prove that if a finite group G has the same set of orders of elements as the group E 8(q), then O 3(G/F(G)) is isomorphic to E 8(q).
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Alekseeva, O.A., Kondrat'ev, A.S. On Recognizability of the Group E8(q) by the Set of Orders of Elements. Ukrainian Mathematical Journal 54, 1200–1206 (2002). https://doi.org/10.1023/A:1022030812794
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DOI: https://doi.org/10.1023/A:1022030812794