Field theory and the Cohomology of Some Galois Groups
| dc.creator | Adem, Alejandro | |
| dc.creator | Gao, Wenfeng | |
| dc.creator | Karagueuzian, Dikran | |
| dc.creator | Minac, Jan | |
| dc.date | 2000-09-01 | |
| dc.date.accessioned | 2026-07-07T04:37:07Z | |
| dc.date.available | 2026-07-07T04:37:07Z | |
| dc.description | We prove that two arithmetically significant extensions of a field F coincide if and only if the Witt ring WF is a group ring Z/n[G]. Furthermore, working modulo squares with Galois groups which are 2-groups, we establish a theorem analogous to Hilbert's Theorem 90 and show that an identity linking the cohomological dimension of the Galois group of the quadratic closure of F, the length of a filtration on a certain module over a Galois group, and the dimension over Z/2 of the square class group of the field holds for a number of interesting families of fields. Finally we discuss the cohomology of a particular Galois group in a topological context. | |
| dc.identifier | https://arxiv.org/abs/math/0009011 | |
| dc.identifier | http://arxiv.org/abs/math/0009011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59840 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20J06 | |
| dc.title | Field theory and the Cohomology of Some Galois Groups | |
| dc.type | text |