Can someone guide me through the proof (or point me to where I can find the proof) that the group of rational numbers is not finitely generated?(adsbygoogle = window.adsbygoogle || []).push({});

I know that it helps to break it into steps, the first of which you show that any finitely generated subgroup of Q is contained in a cyclic subgroup (and hence is cyclic), and in the second step you show that Q itself is not cyclic.

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# Q not finitely generated

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