Let H and K be subgroups of a group G so that for all h...
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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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This ia the required proofForyour good
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