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Math Help - Normal subgroup

  1. #1
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    Normal subgroup

    An Normal subgroup of Sn?
    why??
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  2. #2
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    Quote Originally Posted by cvcv49 View Post
    An Normal subgroup of Sn?
    why??

    Proof 1: because [S_n:A_n]=2 ;

    Proof 2: because \pi^{-1}\sigma\pi\in A_n\,\,\,\forall\,\pi\in S_n\,\,\forall \sigma\in A_n

    Tonio
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  3. #3
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    And also a trivial one and S_n itself
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