$Z(G)$ - Center Of A Group

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Definition ($Z(G)$ - Center Of A Group)

Let $G$ be a group. The center of the group, written $Z(G)$, is the set of elements $x\in G$ that commute with every element of $G$, which we can write symbolically as $$Z(G)=\{x\in G\mid gx=xg \text{ for all } g\in G\}.$$

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