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| Paper IPM / M / 7702 |
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| Abstract: | |||||
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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.
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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