Abstract
The characteristic of a simple group of Lie type is the characteristic of the field over which this group is defined. Let G = Sp2n (q), where q = 2k. It is shown that every finite group of Lie type with the same two largest element orders as G has characteristic 2.
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Original Russian Text Copyright © 2013 Lytkin D.V.
The author was supported by the Russian Foundation for Basic Research (Grants 12-01-31221; 12-01-33102).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 1, pp. 105–126, January–February, 2013.
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Lytkin, D.V. Large element orders and the characteristic of finite simple symplectic groups. Sib Math J 54, 78–95 (2013). https://doi.org/10.1134/S0037446613010114
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DOI: https://doi.org/10.1134/S0037446613010114