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Thread: showing center of a group is normal

  1. May 8th 2008, 06:37 AM #1
    szpengchao
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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. May 8th 2008, 07:13 AM #2
    ThePerfectHacker
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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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