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Paper IPM / M / 533 |
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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
Suzuki-Ree groups [6] and PSL2(q) [8] are uniquely
determined by their order components. In this paper, we prove that the
simple groups F4(q) are also
uniquely determined by their order components, where
q=2n(n > 1).
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