Timeline for The Galois group and relations among the roots of a polynomial
Current License: CC BY-SA 3.0
5 events
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| May 19, 2012 at 16:35 | comment | added | Carsten | Thanks Neil-- I don't have Maple but I did check Pari, and it has a case-by-case algorithm for poly's of degree up to 11, which I found uninspiring. As mentioned, I'm really more interested in the Galois ideal than in the Galois group, and I'm not aware of anything that computes the non-trivial generators of this ideal. I am going to try to look up Eisenbud's paper on primary decomposition in Inventiones 110 if I get a chance. | |
| May 19, 2012 at 15:32 | comment | added | Neil Strickland |
If you have Maple you can enter interface(verboseproc=3) and then eval(galois) to see how Maple calculates Galois groups. The main galois() function calls various other functions which you can display similarly by entering eval(galois/absres) and so on. Presumably one can do the same with various other systems.
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| May 19, 2012 at 2:40 | vote | accept | Carsten | ||
| May 19, 2012 at 2:01 | answer | added | Will Sawin | timeline score: 7 | |
| May 19, 2012 at 1:49 | history | asked | Carsten | CC BY-SA 3.0 |