Abstract
We prove that the simple group G 2(q), where 2 < q ≡ −1(mod 3), is recognizable by the set of its order components. In other words, we prove that if G is a finite group with OC(G) = OC(G 2(q)), then G ≌ G 2(q).
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Original Russian Text Copyright © 2013 Nosratpour P. and Darafsheh M.R.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 5, pp. 1102–1114, September–October, 2013.
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Nosratpour, P., Darafsheh, M.R. Characterization of G 2(q), where 2 < q ≡ −1(mod 3), by order components. Sib Math J 54, 883–893 (2013). https://doi.org/10.1134/S0037446613050121
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DOI: https://doi.org/10.1134/S0037446613050121