Timeline for Unramified extensions of a given degree

15 events

when toggle format	what		by	license	comment
Mar 26, 2015 at 22:11	history	undeleted	Suman
Mar 16, 2015 at 12:16	history	deleted	Suman		via Vote
Mar 12, 2015 at 0:30	comment	added	KConrad		See some previous MO questions: mathoverflow.net/questions/26491/… and mathoverflow.net/questions/41219/…. The first link shows $\mathbf Q(i)$ has no everywhere unramified extensions of degree greater than $1$, abelian or otherwise. So in that sense it is just like $\mathbf Q$.
Mar 11, 2015 at 23:04	history	edited	Suman	CC BY-SA 3.0	deleted 30 characters in body
Mar 11, 2015 at 20:58	comment	added	Daniel Loughran		If $K$ is a local field, then there exists a unique unramified extension of each degree. See Serre's book on local fields.
Mar 11, 2015 at 20:28	history	edited	Suman	CC BY-SA 3.0	deleted 76 characters in body
Mar 11, 2015 at 20:27	review	Close votes
Mar 11, 2015 at 21:26
Mar 11, 2015 at 20:15	history	edited	Suman	CC BY-SA 3.0	deleted 6 characters in body
Mar 11, 2015 at 20:09	history	edited	Suman	CC BY-SA 3.0	added 91 characters in body
Mar 11, 2015 at 20:03	history	edited	Suman	CC BY-SA 3.0	added 91 characters in body
Mar 11, 2015 at 19:55	comment	added	Will Chen		the $n$th cyclotomic field over $\mathbb{Q}$ is ramified at all primes dividing $n$.
Mar 11, 2015 at 19:53	history	edited	Suman	CC BY-SA 3.0	added 17 characters in body
Mar 11, 2015 at 19:09	comment	added	LSpice		Adjoin a suitable root of unity.
Mar 11, 2015 at 18:58	history	edited	Suman		edited tags
Mar 11, 2015 at 17:59	history	asked	Suman	CC BY-SA 3.0