Abstract
Let T be a Sylow 2-subgroup of a simple group PSU (3, 2n), and Z a proper subgroup belonging to the center of T. We shall prove that a simple finite group whose Sylow 2-subgroup is isomorphic to T/Z coincides with PSU (3, 2n). As a consequence we list simple groups that can be represented in the form of a product of two Schmidt groups, i.e., of minimal nonnilpotent groups.
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Translated from Matematicheskie Zametki, Vol. 14, No. 2, pp. 217–222, August, 1973.
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Mazurov, V.D., Syskin, S.A. Finite groups with special Sylow 2-subgroups. Mathematical Notes of the Academy of Sciences of the USSR 14, 683–686 (1973). https://doi.org/10.1007/BF01147114
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DOI: https://doi.org/10.1007/BF01147114