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IPM
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“School of Mathematics”

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Paper   IPM / M / 7382
School of Mathematics
  Title:   A characterization of PSU(19,q)
  Author(s):  A. Iranmanesh
  Status:   Published
  Journal: Int. J. Pure Appl. Math.
  Vol.:  15
  Year:  2004
  Pages:   499-511
  Supported by:  IPM
  Abstract:
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(19, q) are also uniquely determined by their order components. As corollaries of this result, the validity of a conjecture of J. G. Thompson on PSU(19, q) is obtained.

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