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Please someone can help me in this question?

Let G be an abelian group. Prove that every subgroup of G is normal.

I am looking for hints so that I can create my own solution. THANK YOU ALL!

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Hint: For any $g,h \in G$, $ghg^{-1}=h$.

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thanks for helping! – YuYu Huang Feb 9 '13 at 7:15

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