Timeline for Number of Galois extensions of local fields of fixed degree
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
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May 8, 2014 at 22:38 | comment | added | Henri Johnston | Yes (assuming $l \neq p$, of course). | |
May 8, 2014 at 18:41 | comment | added | Torsten Schoeneberg | Just for clarity (I just confused myself for a minute): What you are saying in your third paragraph is that either $K$ contains all $p$-th roots of unity (so we are in the Kummer case), or there are no ramified Galois extensions of degree $p$ at all (so the unramified is the only one). | |
Jul 4, 2011 at 9:12 | vote | accept | Stefan Keil | ||
Jun 23, 2011 at 17:08 | history | answered | Henri Johnston | CC BY-SA 3.0 |