Skip to main content
13 events
when toggle format what by license comment
Sep 17, 2019 at 17:29 vote accept seoneo
Sep 10, 2019 at 16:39 history edited seoneo CC BY-SA 4.0
added 106 characters in body; added 1 character in body
Sep 10, 2019 at 9:26 comment added GH from MO The answer is negative even to the strongest form of your question. See my response below.
Sep 10, 2019 at 9:25 answer added GH from MO timeline score: 1
Sep 10, 2019 at 8:26 history edited seoneo CC BY-SA 4.0
Question corrected
Sep 10, 2019 at 8:19 history edited seoneo CC BY-SA 4.0
Question corrected
Sep 10, 2019 at 8:16 answer added tanjia timeline score: 1
Sep 10, 2019 at 8:15 review Close votes
Sep 19, 2019 at 3:05
Sep 10, 2019 at 8:12 comment added seoneo @GHfromMO Wow. What a nice counter example. Your counter example proves my first question is actually wrong. OK. But what if $K$ is another Galois extension of $F$? How about the case that the galois group of $L$ over $F$ is abelian?
Sep 10, 2019 at 8:08 history edited GH from MO
edited tags
Sep 10, 2019 at 8:05 comment added GH from MO If $K=F(\alpha)$, then $g(x)=x-\alpha$, so $M=K$. This shows that $M$ can be much smaller than $L$.
Sep 10, 2019 at 7:55 review First posts
Sep 10, 2019 at 7:57
Sep 10, 2019 at 7:51 history asked seoneo CC BY-SA 4.0