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Dec 8, 2012 at 15:00 vote accept Mike Lowrey
Dec 7, 2012 at 3:59 comment added S. Carnahan I think you can work backwards, choosing the subfield $K$ of an algebraic closure of $\mathbb{Q}_p$ by adjoining the coordinates of all $p$-power torsion points to $\mathbb{Q}_p$.
Dec 6, 2012 at 23:27 history answered Xandi Tuni CC BY-SA 3.0