Question: Let $G$ be a group with binary operation $ * $ . Let $G ' $ be the same set as $G$ , and define

Let $G$ be a group with binary operation $*$. Let $G'$ be the same set as $G$, and define a binary operation $*'$ on $G'$ by $x *' y = y * x$, for all $x,y \in G'$.

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