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show the general result that if G is a group with subgroup H, and N is a normal subgroup of G, then H N is
show the general result that if G is a group with subgroup H, and N is a normal subgroup of G, then H N is a normal subgroup of H.
Suppose n 5. Use the above and the simplicity of An to show that An is the only normal subgroup of Sn (
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