Timeline for Given a number field $K$, when is its Hilbert class field an abelian extension of $\mathbb{Q}$?
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| Dec 28, 2012 at 7:11 | answer | added | Chandan Singh Dalawat | timeline score: 1 | |
| Feb 25, 2010 at 1:12 | answer | added | Quetzalcoatl | timeline score: 1 | |
| Feb 21, 2010 at 19:14 | comment | added | Scarlet | FC--Is there some source you recommend to read up on this? I would be happy to learn more about the totally real case, as well as these finitely many examples. In particular, I would like to be able to have a class of such fields. It would be wonderful if [K:Q] > or = 3. Is it true that there are only finitely many fields that are not totally real, or only finitely many fields that are totally real with [K:Q] >2? | |
| Feb 21, 2010 at 19:10 | vote | accept | Scarlet | ||
| Feb 21, 2010 at 19:09 | vote | accept | Scarlet | ||
| Feb 21, 2010 at 19:10 | |||||
| Feb 21, 2010 at 19:09 | vote | accept | Scarlet | ||
| Feb 21, 2010 at 19:09 | |||||
| Feb 19, 2010 at 14:46 | history | edited | Scarlet |
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| Feb 19, 2010 at 8:19 | comment | added | Kevin Buzzard | There's not going to be a "definitive answer" to this question because it includes the question "when does a real quadratic field have class number 1", about which not much (in some sense) is known. For example it's still an open problem whether there are infinitely many real quad fields with class number 1. | |
| Feb 19, 2010 at 7:28 | answer | added | Franz Lemmermeyer | timeline score: 18 | |
| Feb 19, 2010 at 4:12 | answer | added | Emerton | timeline score: 16 | |
| Feb 19, 2010 at 3:59 | answer | added | Felipe Voloch | timeline score: -1 | |
| Feb 19, 2010 at 3:48 | history | asked | Scarlet | CC BY-SA 2.5 |