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Paper   IPM / M / 7772
School of Mathematics
  Title:   The number of isomorphism classes of finite groups with the set of order components of C4(q)
1.  Behr. Khosravi
2.  Behn. Khosravi
3.  Bah. Khosravi
  Status:   Published
  Journal: Appl. Algebra Engrg. Comm. Comput.
  Vol.:  15
  Year:  2005
  Pages:   349-359
  Supported by:  IPM
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 GC4(q) or GB4(q).

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