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Order components of a finite simple group were introduced in [4].
It was proved that some non-abelian simple groups are uniquely
determined by their order components. As the main result of the
paper, we show that groups $PSU_{11}(q)$ are also uniquely
determined by their order components. As corollaries of this
result, the validity of a conjecture of J. G. Thompson and a
conjecture of W. Shi and J. Bi. both on $PSU_{11}(q)$ are
obtained.
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