Let G be a group, and let H be normal in G. Prove that every subgroups of G/H is of the form K/H, where K is a subgroup of G with .

My proof so far:

Let , let X be a subgroup of G/H. By a theorem, is a subgroup of G.

Any help from here?

Thanks.

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- October 20th 2007, 09:52 PMtttcomraderSubgroup of factor groups
Let G be a group, and let H be normal in G. Prove that every subgroups of G/H is of the form K/H, where K is a subgroup of G with .

My proof so far:

Let , let X be a subgroup of G/H. By a theorem, is a subgroup of G.

Any help from here?

Thanks. - October 21st 2007, 08:38 AMThePerfectHacker