Timeline for Norms in Galois extensions
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 31, 2016 at 9:33 | comment | added | Pierre MATSUMI | How can one prove this is true for k = #-field? | |
| May 16, 2011 at 23:19 | comment | added | Kevin Buzzard | Just to remark that if $[E:F]=n$ and $L$ is a solvable Galois extension of $F$ containing an $n$th root of $x$, then $L$ is disjoint from $E$ and $x$ is a norm from $LE$ down to $LF=L$. So for a counterexample one wants to make sure that $L$ (a solvable extension of a non-solvable extension of $k$) can't be written as $KF$ for $K/k$ solvable. | |
| May 16, 2011 at 16:54 | history | asked | Mikhail Borovoi | CC BY-SA 3.0 |