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  3. let h and k be subgroups of a group g so that for

Let H and K be subgroups of a group G so that for all h...

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Advance Math

Let H and K be subgroups of a group G so that for all h in H andk in K there is a k' in K with hk = k'h. Proposition 2.3.2 showsthat HK is a group. Show that K is a normal subgroup of HK.

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