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Paper IPM / M / 7772  


Abstract:  
Let G be a finite group. Based on the prime graph of
G, the order of G can be divided into a product of coprime
positive integers. These integers are called order components of
G and the set of order components is denoted by OC(G). Some
nonabelian simple groups are known to be uniquely determined by
their order components.
In this paper, we prove that if q=2^{n},
then the simple group C_{4}(q) can be uniquely determined by its
order components. Also if q is an odd prime power and
OC(G)=OC(C_{4}(q)), then G ≅ C_{4}(q) or G ≅ B_{4}(q).
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