Timeline for solvablity for some polynomial
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 16, 2013 at 17:48 | comment | added | user30035 | @Geoff Robinson: what is different about characteristics 2 and 3? | |
| Mar 16, 2013 at 8:22 | comment | added | Chandan Singh Dalawat | When you say "root solvability", perhaps you mean "solvable by radicals". In prime characteristic $p$, you will have to replace (for example) the radical $\root p\of$ by the "Artin-Schreier radical" $\wp_p^{-1}(\ )$, where $\wp_p^{-1}(a)$ stands for a root of $T^p-T-a$, etc. Apart from such obvious changes, the theory should be the same as in characteristic $0$. See for example mathoverflow.net/questions/81989/… | |
| Mar 16, 2013 at 7:32 | comment | added | Geoff Robinson | You need separability conditions, but given thos, the theory is much the same in characteristics other than $2$ and $3$. | |
| Mar 16, 2013 at 7:27 | history | asked | bo.gu | CC BY-SA 3.0 |