Construction and classification of some Galois modules
| dc.creator | Minac, Jan | |
| dc.creator | Swallow, John | |
| dc.date | 2003-04-15 | |
| dc.date.accessioned | 2026-07-07T06:21:07Z | |
| dc.date.available | 2026-07-07T06:21:07Z | |
| dc.description | In our previous paper we describe the Galois module structures of $p$th-power class groups $K^\times/{K^{\times p}}$, where $K/F$ is a cyclic extension of degree $p$ over a field $F$ containing a primitive $p$th root of unity. Our description relies upon arithmetic invariants associated with $K/F$. Here we construct field extensions $K/F$ with prescribed arithmetic invariants, thus completing our classification of Galois modules $K^{\times}/K^{\times p}$. | |
| dc.identifier | https://arxiv.org/abs/math/0304203 | |
| dc.identifier | http://arxiv.org/abs/math/0304203 | |
| dc.identifier | Math. Z. 250 (2005), no. 4, 907--914 | |
| dc.identifier | doi:10.1007/s00209-005-0785-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95498 | |
| dc.subject | Number Theory | |
| dc.title | Construction and classification of some Galois modules | |
| dc.type | text |