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Paper   IPM / M / 7706
School of Mathematics
  Title:   A characterization of PSU(17, q)
  Author(s):  A. Iranmanesh (Joint with B. Khosravi)
  Status:   Published
  Journal: J. Appl. Algebra Discrete Struct.
  Vol.:  3
  Year:  2005
  Pages:   169-188
  Supported by:  IPM
Let G be a finite group. The order of G is the product of coprime positive integers which is called the order components of G. It was proved that some non-abelian simple groups are uniquely determined by their order components. As the main result of this paper, we show that the simple groups PSU(17,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. Bi both on PSU(17,q) is obtained.

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