Word Count : 159

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Let $G$ be a finite group and $a\in G$. Consider the cyclic subgroup generated by $a$, $\langle a\rangle=\{a^k:k\in\mathbb Z\}$. By definition $\langle a\rangle$ is a subgroup of $G$ and its order _____ _____ ______ ___ ____ ____ _______ _______ ___ __________ ________ ____.
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