One-dimensional elementary abelian extensions have Galois scaffolding
| dc.creator | Elder, G. Griffith | |
| dc.date | 2005-11-07 | |
| dc.date | 2007-05-02 | |
| dc.date.accessioned | 2026-07-07T07:58:59Z | |
| dc.date.available | 2026-07-07T07:58:59Z | |
| dc.description | We define a variant of normal basis, called a {\em Galois scaffolding}, that allows for an easy determination of valuation, and has implications for Galois module structure. We identify fully ramified, elementary abelian extensions of local function fields of characteristic $p$, called {\em one-dimensional}, that, in a particular sense, are as simple as cyclic degree $p$ extensions, and prove the statement in the title above. | |
| dc.description | 13 pages. This is a revision of "One-dimensional elementary-abelian extensions of local fields," which is being split into two papers. This paper restricts itself to local fields of characteristic $p$ and proves a stronger result than in the original | |
| dc.identifier | https://arxiv.org/abs/math/0511174 | |
| dc.identifier | http://arxiv.org/abs/math/0511174 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128208 | |
| dc.subject | Number Theory | |
| dc.subject | 11S15 | |
| dc.title | One-dimensional elementary abelian extensions have Galois scaffolding | |
| dc.type | text |