Journal of the Korean Mathematical Society (대한수학회지)

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CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS

  • Darafsheh, Mohammad Reza (School of Mathematics, College of Science, University of Tehran, Research Institute for Fundamental Science)
  • Published : 2010.03.01
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Abstract

In this paper we will prove that the groups $D_{p+1}$(2) and $D_{p+1}$(3), where p is an odd prime number, are uniquely determined by their sets of order components. A main consequence of our result is the validity of Thompson's conjecture for the groups $D_{p+1}$(2) and $D_{p+1}$(3).

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References

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