Prove that any finitely generated subgroup (Q,+) is cyclic

1.	Prove that any finitely generated subgroup (Q,+) is cyclic
Answer» Step-by-step explanation: 〉 and HENCE H is cyclic itself. This PROVES the claim that EVERY finitely generated subgroup of Q is cyclic. ... For example, 〈(1, 0), (0, 1)〉 = Z × Z is finitely generated but not cyclic. This implies that the groups Q and Q × Q are not isomorphic.

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Step-by-step explanation:

〉 and HENCE H is cyclic itself. This PROVES the claim that EVERY finitely generated subgroup of Q is cyclic. ... For example, 〈(1, 0), (0, 1)〉 = Z × Z is finitely generated but not cyclic. This implies that the groups Q and Q × Q are not isomorphic.

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Prove that any finitely generated subgroup (Q,+) is cyclic ​

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Prove that any finitely generated subgroup (Q,+) is cyclic