Timeline for Fields in which $ -1 $ can't be written as sum of two square elements
Current License: CC BY-SA 4.0
12 events
when toggle format | what | by | license | comment | |
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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
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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
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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
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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 |