Timeline for Norm Residue Symbol refinement?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 8, 2016 at 16:09 | vote | accept | Alex | ||
| Mar 8, 2016 at 7:19 | answer | added | wrigley | timeline score: 1 | |
| Mar 8, 2016 at 0:08 | comment | added | Alex | Sorry, I posted my last comment before you edited it to give a full answer. You can just post this comment as an answer. | |
| Mar 7, 2016 at 23:43 | comment | added | wrigley | Sure the edited question is true for $h=0$ because the group generated by the non-zero elements of the integers of $K$ is just $K^\times$, so just think about the kernel of $(a,-/n)$. PS you still seem to have a prime ideal generated by a random not-necessarily-prime element. | |
| Mar 7, 2016 at 23:41 | comment | added | Alex | Oops. My original post had this, and then I accidentally edited it out. | |
| Mar 7, 2016 at 23:40 | history | edited | Alex | CC BY-SA 3.0 |
added 16 characters in body
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| Mar 7, 2016 at 23:39 | comment | added | wrigley | In general $n$ (a random positive integer) doesn't generate a prime ideal. Which ring is this an ideal of anyway? Hensel's Lemma might tell you that if you're sufficiently congruent to 1 mod something then you're an $n$th power anyway so if my understanding of your question is correct then for large enough $h$ no $b$ will exist. | |
| Mar 7, 2016 at 23:24 | history | asked | Alex | CC BY-SA 3.0 |