Viewing is isomorphic to Z6. Generalize to arbitrary

Chapter 9, Problem 8E

(choose chapter or problem)

Viewing \(\langle 3 \rangle\) and \(\langle 12 \rangle\) as subgroups of Z, prove that \(\langle 3 \rangle / \langle 12 \rangle\) is isomorphic to \(Z_4\). Similarly, prove that \(\langle 8 \rangle / \langle 48 \rangle\) is isomorphic to \(Z_6\). Generalize to arbitrary integers k and n.

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