Abstract
In this article, properties of the biprimary subgroups of even order are used to characterize the following series of finite simple groups: the projective special linear groups PSL(2, q), q > 3, the projective special unitary groups PSU(3, 22n), n > 1, the Suzuki groups Sz(q), the Janko group J1 of order 175560, and the Ree-type groups.
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