A valuation criterion for normal bases in elementary abelian extensions
| dc.creator | Byott, Nigel P. | |
| dc.creator | Elder, G. Griffith | |
| dc.date | 2006-04-29 | |
| dc.date | 2006-11-19 | |
| dc.date.accessioned | 2026-07-07T07:13:47Z | |
| dc.date.available | 2026-07-07T07:13:47Z | |
| dc.description | Let $p$ be a prime number and let $K$ be a finite extension of the field $\mathbb{Q}_p$ of $p$-adic numbers. Let $N$ be a fully ramified, elementary abelian extension of $K$. Under a mild hypothesis on the extension $N/K$, we show that every element of $N$ with valuation congruent mod $[N:K]$ to the largest lower ramification number of $N/K$ generates a normal basis for $N$ over $K$. | |
| dc.description | In addition to some small notational changes, the title "On the valuation of normal basis generators" was changed. The paper is accepted by the Bulletin of the LMS | |
| dc.identifier | https://arxiv.org/abs/math/0605011 | |
| dc.identifier | http://arxiv.org/abs/math/0605011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112604 | |
| dc.subject | Number Theory | |
| dc.subject | 11S15; 13B05 | |
| dc.title | A valuation criterion for normal bases in elementary abelian extensions | |
| dc.type | text |