If a cyclic group has finite cardinality $ k$ how do I prove that it is Isomorphic to the group $ (\mathbb{Z}/k\mathbb{Z}, +)$ .

I can show that the two groups have the same order but not sure how to prove bijectivity.

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# Tag: $\mathbb{Z}/k\mathbb{Z}$

## A cyclic group with finite order $k$ is isomorphic to group $\mathbb{Z}/k\mathbb{Z}$

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If a cyclic group has finite cardinality $ k$ how do I prove that it is Isomorphic to the group $ (\mathbb{Z}/k\mathbb{Z}, +)$ .

I can show that the two groups have the same order but not sure how to prove bijectivity.

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