Timeline for Splitting field of an intermediate field
Current License: CC BY-SA 4.0
13 events
when toggle format | what | by | license | comment | |
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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
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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
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Sep 10, 2019 at 8:19 | history | edited | seoneo | CC BY-SA 4.0 |
Question corrected
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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 |
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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 |