Abelian extensions of global fields with constant local degrees
| dc.creator | Kisilevsky, Hershy | |
| dc.creator | Sonn, Jack | |
| dc.date | 2004-12-08 | |
| dc.date | 2005-02-02 | |
| dc.date.accessioned | 2026-07-07T05:15:07Z | |
| dc.date.available | 2026-07-07T05:15:07Z | |
| dc.description | Given a global field K and a positive integer n, there exists an abelian extension L/K (of exponent n) such that the local degree of L/K is equal to n at every finite prime of K, and is equal to two at the real primes if n=2. As a consequence, the n-torsion subgroup of the Brauer group of K is equal to the relative Brauer group of L/K. | |
| dc.description | 7 pages. The present version gives a different proof of the main result. In the previous version, a special case was overlooked, which the previous proof did not cover | |
| dc.identifier | https://arxiv.org/abs/math/0412176 | |
| dc.identifier | http://arxiv.org/abs/math/0412176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73529 | |
| dc.subject | Number Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 11R20; 11R37; 12F10; 16K50 | |
| dc.title | Abelian extensions of global fields with constant local degrees | |
| dc.type | text |