Lecture#173 A Sub-group H of Index 2 in a Group G is a Normal Sub-group of the Group G

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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.
A Subgroup of Index 2 is Normal In G || Bsc Msc Math || HPSC Assistant Professor A Subgroup of Index 2 is Normal In G || Bsc Msc Math || HPSC Assistant Professor
index of subgroup 2 is always normal in a group. index of subgroup 2 is always normal in a group.
If G is a group and H is a subgroup of index 2 in G. Show that H is a normal subgroup of G If G is a group and H is a subgroup of index 2 in G. Show that H is a normal subgroup of G
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