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Math Help - Prove G is abelian

  1. #1
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    Prove G is abelian

    I can't figure this one out.

    Let G be a group of a finite order. and for every a,b\in{G}, (ab)^3=a^3b^3 and (o(G),3)=1. Show G is abelian.
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  2. #2
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    What does the notation (o(G), 3) = 1 mean in this problem?
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  3. #3
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    sorry, o(G) means the order of G, and (a,b) is the gratest common divisor of a,b.

    So the order of G and 3 do not have a common divisor besides 1.

    SK
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  4. #4
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    Quote Originally Posted by skyking View Post
    I can't figure this one out.

    Let G be a group of a finite order. and for every a,b\in{G}, (ab)^3=a^3b^3 and (o(G),3)=1. Show G is abelian.

    Read here : Math Forum - Ask Dr. Math

    Tonio
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