Question

Normal Subgroup in group theory ​

Answer 1

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a normal subgroup is a subgroup that is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup N of the group G is normal in G if and only if gng⁻¹ ∈ N for all g ∈ G and n ∈ N. The usual notation for this relation is {\displaystyle N\triangleleft G}.

Answer 2

Answer:

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[tex][/tex]

A normal subgroup is a subgroup that is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup N of the group G is normal in G if and only if gng⁻¹ ∈ N for all g ∈ G and n ∈ N. The usual notation for this relation is {\displaystyle N\triangleleft G}.

Step-by-step explanation:

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