Non-existence and splitting theorems for normal integral bases
| dc.creator | Greither, Cornelius | |
| dc.creator | Johnston, Henri | |
| dc.date | 2008-01-15 | |
| dc.date | 2009-02-26 | |
| dc.date.accessioned | 2026-07-07T12:46:25Z | |
| dc.date.available | 2026-07-07T12:46:25Z | |
| dc.description | We establish new conditions that prevent the existence of (weak) normal integral bases in tame Galois extensions of number fields. This leads to the following result: under appropriate technical hypotheses, the existence of a normal integral basis in the upper layer of an abelian tower Q \subset K \subset L forces the tower to be split in a very strong sense. | |
| dc.description | 17 pages, 4 figures, uses xypic, minor revisions following referee's report. To appear in Annales de L'Institut Fourier | |
| dc.identifier | https://arxiv.org/abs/0801.2272 | |
| dc.identifier | http://arxiv.org/abs/0801.2272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221374 | |
| dc.subject | Number Theory | |
| dc.subject | 11R33; 11R18 | |
| dc.title | Non-existence and splitting theorems for normal integral bases | |
| dc.type | text |