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Jul 10 at 19:11 vote accept Sky
Jul 10 at 7:46 comment added Emil Jeřábek I mean, of Stufe more than $2$.
Jul 10 at 7:39 answer added PseudoNeo timeline score: 9
Jul 10 at 7:37 comment added Emil Jeřábek There are many such fields with rather disparate properties, and I don’t think there is any kind of classification. FWIW, these are called the fields of Stufe 2.
Jul 10 at 7:15 history edited Sky CC BY-SA 4.0
deleted 81 characters in body
Jul 10 at 7:14 comment added Sky Yes we don't need this assumption. I have edited.
Jul 10 at 7:02 comment added YCor "Additionally, it is assumed": you don't need this assumption, which is an immediate consequence of the definition.
Jul 10 at 7:00 history edited YCor CC BY-SA 4.0
edited tags, fixed title
Jul 10 at 6:51 comment added Dave Benson For what it's worth, these are precisely the fields over which the quaternion group $Q_8$ has a four dimensional irreducible representation. You might also want to look up the theory of Severi-Brauer varieties.
S Jul 10 at 6:35 history suggested Sampah CC BY-SA 4.0
corrected grammar, improved phrasing
Jul 10 at 6:33 review Suggested edits
S Jul 10 at 6:35
Jul 10 at 6:26 history asked Sky CC BY-SA 4.0