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Math Help - find centralizer and center of G

  1. #1
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    find centralizer and center of G

    Hi All,

    First I am very confuse about the two term centralizer and center.

    Second, how do I find centralizer of G when G= 1,2,3,4,5,6,7,8 and how do I find the center of G?

    Thanks,
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  2. #2
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    Quote Originally Posted by nguy0688 View Post
    Hi All,

    First I am very confuse about the two term centralizer and center.

    Second, how do I find centralizer of G when G= 1,2,3,4,5,6,7,8 and how do I find the center of G?

    Thanks,
    The center Z(G) is the set of all elements which commute with everything else. The centralizer C(x) of some element x in G is the set of all elements which commute with x.
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