A relative version of Kummer theory
| dc.creator | Shirbisheh, Vahid | |
| dc.date | 2008-08-13 | |
| dc.date.accessioned | 2026-07-07T09:56:24Z | |
| dc.date.available | 2026-07-07T09:56:24Z | |
| dc.description | Let $E/F$ be a cyclic Galois extension of degree $p^l$ with Galois group $G$. It is shown that the Galois module structure of both sides of the Kummer pairing (for Kummer extensions of $E$) are the same. In other words, we show that the Kummer duality holds in the level of finitely generated $G$-modules. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0808.1760 | |
| dc.identifier | http://arxiv.org/abs/0808.1760 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166964 | |
| dc.subject | Number Theory | |
| dc.title | A relative version of Kummer theory | |
| dc.type | text |