Timeline for Generators of prime ideals and factorization of polynomials
Current License: CC BY-SA 4.0
8 events
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Oct 3, 2019 at 16:37 | answer | added | Algebrus | timeline score: 1 | |
Oct 3, 2019 at 11:01 | vote | accept | Algebrus | ||
Oct 3, 2019 at 8:24 | answer | added | Aurel | timeline score: 3 | |
Oct 3, 2019 at 7:48 | history | edited | Algebrus |
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Oct 3, 2019 at 4:49 | history | edited | Algebrus | CC BY-SA 4.0 |
Added comment $^\star$
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Oct 3, 2019 at 4:41 | comment | added | KConrad | The example that I describe in an answer at mathoverflow.net/questions/21247/… does not directly address your question but it does show that the way a ramified prime number factors in $\mathcal O_K$ need not correspond to the way some element of the Galois group of the Galois closure of $K$ over $\mathbf Q$ permutes a primitive root of $K/\mathbf Q$ and its $\mathbf Q$-conjugates. Because of that phenomenon, I would not be surprised if your question has a negative answer. | |
Oct 3, 2019 at 3:04 | history | edited | Algebrus | CC BY-SA 4.0 |
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Oct 2, 2019 at 16:34 | history | asked | Algebrus | CC BY-SA 4.0 |