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Paper IPM / M / 533  


Abstract:  
Based on the prime graph of a finite simple group, its
order is the product of its order components (see [4]). It is known that
SuzukiRee groups [6] and PSL_{2}(q) [8] are uniquely
determined by their order components. In this paper, we prove that the
simple groups F_{4}(q) are also
uniquely determined by their order components, where
q=2^{n}(n > 1).
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