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Math Help - Normal2

  1. #1
    Junior Member mathemanyak's Avatar
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    Normal2

    Let G be a group. Every cyclic subgroup of G is normal, then prove that every subgroup of G is normal
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  2. #2
    Senior Member JaneBennet's Avatar
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    Let H be a subgroup of G, and let g\in G,\ h\in H. Then \left<h\right> is normal in G and so ghg^{-1}=h^n\in H for some n\in\mathbb{Z}. Hence H\vartriangleleft G
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