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Transitive subgroup of the symmetric group

  1. Dec 16, 2014 #1
    I need help in proving the following statement:
    An abelian,transitive subgroup of the symmetric group Sn is cyclic,generated by an n-cycle.
    Thank's in advance
  2. jcsd
  3. Dec 18, 2014 #2

    Stephen Tashi

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    Science Advisor

    Is the Klein four-group a transitive abelian subgroup of S4 ?
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