Timeline for Image of the norm map for degree $3$ galois extension over $\mathbb{Q}$
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 15, 2018 at 13:10 | history | edited | Matthieu Romagny | CC BY-SA 4.0 |
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| Sep 15, 2018 at 11:52 | comment | added | KConrad | This example can be handled by more elementary methods too. Lam shows on pp. 238-240 of his book "A First Course in Noncommutative Rings" that $2$ and $4$ are not norms from this cubic field by proving in a simple way that an even integer that is a norm from that field has to be a multiple of $8$. He attributes the example (and perhaps implicitly the technique?) to Dickson. | |
| Sep 15, 2018 at 11:29 | comment | added | S. carmeli | @user300 unfortunately I don't know any reference for that, but I guess that every standard textbook on algebraic number theory, e.g. Neukirch book should contain something along this lines. | |
| Sep 15, 2018 at 10:25 | comment | added | user300 | can you please suggest me some reference about the results, you used here? | |
| Sep 15, 2018 at 10:24 | vote | accept | user300 | ||
| Sep 15, 2018 at 10:21 | history | answered | S. carmeli | CC BY-SA 4.0 |