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occurred Jul 19, 2011 at 16:35

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edited Jul 18, 2011 at 15:41

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Can you help me and give me the proof of this statement please? And can you exlpainexplain me why this statement is not true when H$H$ is not a subgroup of Z(G)$Z(G)$? Thank you very much

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asked Jul 18, 2011 at 15:23

Roberto

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If H is a subgroup of Z(G) and G/H is nilpotent, then G is nilpotent.

Can you help me and give me the proof of this statement please? And can you exlpain me why this statement is not true when H is not a subgroup of Z(G)? Thank you very much

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If H is a subgroup of Z(G) and G/H is nilpotent, then G is nilpotent.