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Paper   IPM / M / 7738
School of Mathematics
  Title:   A characterization of PSU11(q)
  Author(s):  A. Iranmanesh (Joint with Behr. Khosravi)
  Status:   Published
  Journal: Canad. Math. Bull.
  Vol.:  47
  Year:  2004
  Pages:   530-539
  Supported by:  IPM
  Abstract:
Order components of a finite simple group were introduced in [4]. It was proved that some non-abelian simple groups are uniquely determined by their order components. As the main result of the paper, we show that groups PSU11(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 PSU11(q) are obtained.

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