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Math Help - showing center of a group is normal

  1. #1
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    showing center of a group is normal

    Show that the center of a group is normal...
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  2. #2
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    Quote Originally Posted by szpengchao View Post
    Show that the center of a group is normal...
    H\triangleleft G if and only if ghg^{-1} \in H for all h\in H and g\in G.
    Using this definition it should be a straightforward proof.
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