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Paper   IPM / M / 760
School of Mathematics
  Title:   Recognition of some symmetric groups by the set of the order of their elements
  Author(s):  M. R. Pournaki (Joint with A. R. Moghaddamfar)
  Status:   Published
  Journal: Acta Math. Hungar.
  No.:  4
  Vol.:  99
  Year:  2003
  Pages:   263-270
  Supported by:  IPM
For a finite group G, let πe(G) be the set of order of elements in G and denote Sn the symmetric group on n letters. We will show that if πe(G)=πe(H), where H is Sp or Sp+1 and p is a prime with 50 < p < 100, then GH.

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