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Math Help - Centers of Groups

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    Centers of Groups

    If G is a nonabelian group of order 15, then prove that the center contains only one element.
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    Quote Originally Posted by grad444 View Post

    If G is a nonabelian group of order 15, then prove that the center contains only one element.
    what's the point of proving this when there's no nonabelian group of order 15? every group of order pq with p and q prime, p > q , and p - 1 not divisible by q is abelian (cyclic in fact!).
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