Timeline for Given $v,w$ primes of $k$, is there $K/k$ so $K_v\cap\Bbb Q^\text{cycl}=K_w\cap\Bbb Q^\text{cycl}=K\cap\Bbb Q^\text{cycl}$?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 4, 2023 at 20:20 | history | edited | Michael Hardy | CC BY-SA 4.0 |
edited title
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| S Jan 11, 2016 at 16:48 | history | suggested | Alex | CC BY-SA 3.0 |
Reword title to ask the question in the post.
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| Jan 11, 2016 at 14:28 | review | Suggested edits | |||
| S Jan 11, 2016 at 16:48 | |||||
| Jun 10, 2010 at 7:34 | history | edited | Joel Dodge | CC BY-SA 2.5 |
added 153 characters in body
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| Jun 10, 2010 at 7:30 | comment | added | Joel Dodge | Just something that came to mind while I was thinking about the analogy between number fields and function fields. Number of roots of unity in number fields is something like the size of the constant field for function fields. If the stated condition held, you could potentially compare elements from these different "constant fields" because they would all global representatives. After the initial thought that I might want something like that, it seemed like a tricky question. | |
| Jun 10, 2010 at 4:44 | answer | added | S. Carnahan♦ | timeline score: 2 | |
| Jun 10, 2010 at 3:12 | comment | added | BCnrd | Presumably the question is being asked for an arbitrary $k$. But why would one want to know this? It sounds like a strange (and very restrictive) condition. Is there some application in mind, or is this just an idle thought? | |
| Jun 10, 2010 at 2:28 | history | asked | Joel Dodge | CC BY-SA 2.5 |