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For questions about groups whose elements commute.
2
votes
Is a torsion-free abelian group finitely generated, if all of its localizations at primes $p...
I had the same question when reading Silverman, and want to follow up on Jeremy's answer and explain "Step 4" of his proof in more detail. Corollary 1.6 in these notes was also very helpful.
So let's …