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  3. 1. let n be a normal subgroup of g and let h be an

1. Let N be a normal subgroup of G and let H be any subgroup of...

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Basic Math


1. Let N be a normal subgroup of G and let H be any subgroupof G. Let HN = {hn|h ? H,n ?
N}. Show that HN is a subgroup of G, and is the smallestsubgroup containing both N and H.


Answer & Explanation Solved by verified expert
3.6 Ratings (320 Votes)
If H is a subgroup of N and if N is a normal subgroup Then wehave to prove HN is also a subgroupNow Now consider an    See Answer
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