Question
If $H$ is a normal subgroup of $G$ and $|H|=2$, prove that $H$ is contained in the center of $G$.
Step 1
The center of a group G, denoted by Z(G), is the set of all elements in G that commute with every element of G, i.e., Z(G) = {g ∈ G | gx = xg for all x ∈ G}. Show more…
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