The first two cohomology groups of some Galois groups
| dc.creator | Minac, Jan | |
| dc.creator | Wadsworth, Adrian | |
| dc.date | 2003-04-15 | |
| dc.date.accessioned | 2026-07-07T04:56:54Z | |
| dc.date.available | 2026-07-07T04:56:54Z | |
| dc.description | We investigate the first two Galois cohomology groups of $p$-extensions over a base field which does not necessarily contain a primitive $p$th root of unity. We use twisted coefficients in a systematic way. We describe field extensions which are classified by certain residue classes modulo $p^n$th powers of a related field, and we obtain transparent proofs and slight generalizations of some classical results of Albert. The potential application to the cyclicity question for division algebras of degree $p$ is outlined. | |
| dc.identifier | https://arxiv.org/abs/math/0304202 | |
| dc.identifier | http://arxiv.org/abs/math/0304202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67090 | |
| dc.subject | Number Theory | |
| dc.title | The first two cohomology groups of some Galois groups | |
| dc.type | text |