“School of Mathematics”
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| Paper IPM / M / 7772 |
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| Abstract: | |||||||
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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
non-abelian simple groups are known to be uniquely determined by
their order components.
In this paper, we prove that if q=2n,
then the simple group C4(q) can be uniquely determined by its
order components. Also if q is an odd prime power and
OC(G)=OC(C4(q)), then G ≅ C4(q) or G ≅ B4(q).
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