Timeline for If $K=\langle$HCF of $\mathbb{Q}_{p}$, $\mathbb{Q}^\mathrm{cycl}\rangle$, does $K$ also contain all roots of elements of $\mathcal{O}_{K}^{\times}$?
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| Jul 8, 2013 at 3:24 | history | edited | Chandan Singh Dalawat | CC BY-SA 3.0 |
simplified the argument by point out that the local Kronecker-Weber theorem is not used
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| Jul 7, 2013 at 18:39 | comment | added | Jeff Yelton | There you go, that argument should have occurred to me. I guess that although all the square roots are in $K$, higher roots generally are not. Thanks! | |
| Jul 7, 2013 at 18:37 | vote | accept | Jeff Yelton | ||
| Jul 7, 2013 at 16:05 | history | answered | Chandan Singh Dalawat | CC BY-SA 3.0 |