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Math Help - group permutations 8

  1. #1
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    group permutations 8

    Find a normal subgroup in A4 of order 4.

    Please show steps. Thanks!
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  2. #2
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    Quote Originally Posted by mpryal View Post
    Find a normal subgroup in A4 of order 4.

    Please show steps. Thanks!
    V=\{ \text{id},(12)(34),(13)(24),(14)(23)\}

    Show that \sigma V = V\sigma for any \sigma \in A_4.
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