Let N be a normal subgroup of G and let H be any subgroup of G. Let
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Let N be a normal subgroup of G and let H be any subgroup of G. Let HN = { hn | h∈ H, n ∈ N}. Show that H N is a subgroup of G, and is the smallest subgroup containing both N and H.
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Closure Let h 1 n 1 h 2 n 2 HN where h 1 h 2 H and n 1 n 2 N Beca...View the full answer
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