Timeline for What are the necessary conditions for a real number to be a cyclotomic integers？
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 30, 2015 at 17:57 | comment | added | Xiao-Gang Wen | "Subfactors of index less than 5" is a very nice sequence of papers that contain many things I need to constrain quantum dimensions. So I select this as an answer. The one by @Dave Penneys is also very much related but I cannot choose two. | |
| Oct 30, 2015 at 17:53 | vote | accept | Xiao-Gang Wen | ||
| Oct 28, 2015 at 7:10 | comment | added | Qiaochu Yuan | @P Vanchinathan: I don't understand the relevance of your comment. Here we are asking about the factorization of the minimal polynomial of $x$ over $\mathbb{F}_p$, which isn't a nontrivial Galois extension of anything. In general the degrees of such factorizations (for $p$ not dividing the discriminant) correspond to cycle types in the Galois group of the polynomial acting on its roots, by the Frobenius density theorem. In particular they are usually different. | |
| Oct 28, 2015 at 6:06 | comment | added | P Vanchinathan | When we start with an irreducible polynomial over some field and regards its factorization into irreducible in a Galois extension are not the degrees of irreducible factors above equal (this follows from the transitive action of the Galois group on the primes lying above a given prime: Here the dedekind domains are the PIDs given by polynomial rings over the base and extension fields). So I don't fully understand what is special about cyclotomy here. | |
| Oct 28, 2015 at 4:33 | history | answered | Kim Morrison | CC BY-SA 3.0 |