Timeline for Frobenius density theorem
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 28, 2023 at 21:01 | comment | added | KConrad | A request for a proof of the Frobenius density theorem (that is not just a proof of the more general Chebotarev density theorem) besides the proof in the book by Janusz was posted on MSE: math.stackexchange.com/questions/2227420/…. The notes Franz links to are missing some sections. | |
| Nov 13, 2014 at 20:44 | comment | added | Will Jagy | @IgorRivin, the other direction, if a prime that does not divide the discriminant factors the polynomial mod p into a certain partition of irreducible factor degrees, then the Galois group must have an element with such cycle structure, is often called Dedekind's Theorem and is in, for example, Galois Theory by David A. Cox, second edition 2012. This is the direction one is using when factoring mod p for several primes and drawing conclusions about the Galois group. | |
| Jul 10, 2013 at 14:09 | comment | added | Igor Rivin | @Michael, yes, Google search is similarly unproductive (you would think that someone would teach it in a course). Weird, since for computing Galois groups that's the only thing people use. | |
| Jul 10, 2013 at 13:04 | comment | added | Michael Zieve | @Igor: I'm not aware of any modern book besides Janusz which contains Frobenius's density theorem. It's hard to believe there could be no others, but I've looked in maybe 40 other books on algebraic number theory and can't recall seeing it elsewhere. | |
| Jul 8, 2013 at 0:28 | vote | accept | Igor Rivin | ||
| Jul 8, 2013 at 0:28 | comment | added | Igor Rivin | Thanks! I am not sure about "many other places", but this certainly works.... | |
| Jul 7, 2013 at 19:31 | history | answered | abz | CC BY-SA 3.0 |