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Paper   IPM / M / 2341
School of Mathematics
  Title:   The characterization of PGL(2, p) for some p by their element orders
1.  M. R. Darafsheh
2.  A. R. Moghaddamfar
3.  A. R. Zokayi
  Status:   Published
  Journal: Int. Math. Forum
  Vol.:  1
  Year:  2006
  Pages:   1825-1831
  Supported by:  IPM
For any group G1 πe (G) denotes the set of orders of its elements. If Ω is a subset of positive integers, h(Ω) stands for the number of distinct isomorphism classes of finite groups G such that πe (G) = Ω, Let Ω = πe (PGL (2, p )), where p is a prime number and 5 ≤ p < 100 . In this paper, we prove that h (Ω) ∈ { 1, ∞} .

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