66. H is normal in G if and only if N(H) is equal G | normal subgroup | AdnanAlig

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A subgroup H of a group G is a normal subgroup of G if and only if ghg^-1 ∈ H ∀ g∈G and h∈H. A subgroup H of a group G is a normal subgroup of G if and only if ghg^-1 ∈ H ∀ g∈G and h∈H.
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Theorem-Iff H and K are two normal subgroups in G such that K containing H then K/H is normal in G/H Theorem-Iff H and K are two normal subgroups in G such that K containing H then K/H is normal in G/H