Timeline for Inverse Galois problem for non-Galois extensions
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 6 at 12:06 | comment | added | Arno Fehm | @PVanchinathan: one should check the references I gave whether the methods there maybe already give this or something similar (without the assumption that the inverse Galois problem is true for $G$) | |
| Sep 6 at 4:11 | comment | added | P Vanchinathan | I have just yesterday arrived at a proof for slighly variant statement, true for Q. It is as follows: Given a finite group $G$, say of order $n$ for which Inverse Galois Problem is true over Q and any prime $p$, there exists infinitely many extensions of Q of degree $np$ which are non-Galois, but with Aut(K/Q) = G. Is this an interesting result? I am currently working to see if it is true when the prime $p$ is replaced by any positive integer. | |
| Nov 18, 2020 at 15:57 | vote | accept | Jens Hemelaer | ||
| Nov 18, 2020 at 15:16 | history | answered | Arno Fehm | CC BY-SA 4.0 |