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Order components of a finite group were introduced by Chen [5]. It
was proved that some finite groups are characterizable by their
order components.
\noindent In this paper we prove that $PSU(p + 1, q)$ is uniquely
determined by its order component(s) if and only if $(q + 1) | (p
+ 1)$. A main consequence of our results is the validity of
Thompson's conjecture for the groups $PSU(p + 1, q)$ where $(q +
1) | (p + 1)$.
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