Timeline for Expressing field inclusions by polynomial equalities on coefficients
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 8, 2009 at 6:11 | comment | added | Ben Weiss | It could be that because the roots are all quadratic over Q(\sqrt 2) that the coefficient a_2 which is the quadratic symmetric function plays a key role. | |
| Dec 8, 2009 at 6:10 | comment | added | Ben Weiss | Yes, that's exactly correct. The problem is trying to use that with our knowledge of the roots to say anything about a relation they satisfy. | |
| Dec 8, 2009 at 6:04 | comment | added | Zev Chonoles | Would I be correct in saying that a polynomial relation in the $a_i$ is necessarily a symmetric function of the roots, because the $a_i$ are the elementary symmetric functions of the roots? | |
| Dec 8, 2009 at 5:35 | history | edited | Ben Weiss | CC BY-SA 2.5 |
added 357 characters in body
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| Dec 8, 2009 at 5:24 | history | answered | Ben Weiss | CC BY-SA 2.5 |