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Paper   IPM / M / 2333
School of Mathematics
  Title:   A characterization of PSU5(q)
  Author(s):  A. Iranmanesh (Joint with Behr. Khosravi)
  Status:   Published
  Journal: Int. Math. J.
  No.:  2
  Vol.:  3
  Year:  2003
  Pages:   129-141
  Supported by:  IPM
  Abstract:
The order of every finite group G can be expressed as a product of coprime positive integers m1, ..., mt such that π(mi) is a connected component of the prime graph of G. The integers m1, ... , mt are called the order components of G. It is known that some non-abelian simple groups are uniquely determined by their order components. As the main result of this paper, we show that groups PSU5(q) are also uniquely determined by their order components. As corollaries of this result, the validity of a conjecture of J. G. Thompson and a conjecture of W. shi and J. Be both on PSU5 (q) is obtained.

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