On the m-torsion Subgroup of the Brauer Group of a Global Field
| dc.creator | Chi, Wen-Chen | |
| dc.creator | Liao, Hung-Min | |
| dc.creator | Tan, Ki-Seng | |
| dc.date | 2007-01-02 | |
| dc.date.accessioned | 2026-07-07T07:37:59Z | |
| dc.date.available | 2026-07-07T07:37:59Z | |
| dc.description | In this note, we give a short proof of the existence of certain abelian extension over a given global field $K$. This result implies that for every positive integer $m$, there exists an abelian extension $L/K$ of exponent $m$ such that the $m$-torsion subgroup of $\Br(K)$ equals $\Br(L/K)$. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701052 | |
| dc.identifier | http://arxiv.org/abs/math/0701052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120965 | |
| dc.subject | Number Theory | |
| dc.subject | 11K60, 11R29, 11R34, 11R37, 11R56, 11R58, 11S15, 11S37, 11S25 | |
| dc.title | On the m-torsion Subgroup of the Brauer Group of a Global Field | |
| dc.type | text |