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Jul 9, 2012 at 5:59 comment added David Corwin I just want to mention that this question came up in a totally different context! It was about proving the (weak) Mordell-Weil Theorem for elliptic curves over number fields. There is a proof that works only when $K$ has class number $1$. Of course, if we can embed $K$ in a field with class number $1$, then the theorem follows a fortiori in $K$ because of its truth in the larger field.
Mar 26, 2012 at 10:05 vote accept David Loeffler
Mar 26, 2012 at 9:43 answer added naf timeline score: 15
Mar 26, 2012 at 7:45 history asked David Loeffler CC BY-SA 3.0