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Paper   IPM / M / 7702
School of Mathematics
  Title:   Characterizability of PSU(P+1,q) by its order component(s)
  Author(s): 
1.  A. Khosravi
2.  Behr. Khosravi
  Status:   Published
  Journal: Rocky Mountain J. Math.
  Vol.:  36
  Year:  2006
  Pages:   1555-1575
  Supported by:  IPM
  Abstract:
Order components of a finite group were introduced by Chen [5]. It was proved that some finite groups are characterizable by their order components.
In this paper we prove that PSU(p + 1, q) is uniquely determined by its order component(s) if and only if (q + 1) | (p+ 1). A main consequence of our results is the validity of Thompson's conjecture for the groups PSU(p + 1, q) where (q +1) | (p + 1).

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