Demuskin groups, Galois modules, and the elementary type conjecture
| dc.creator | Labute, John | |
| dc.creator | Lemire, Nicole | |
| dc.creator | Minac, Jan | |
| dc.creator | Swallow, John | |
| dc.date | 2005-05-25 | |
| dc.date | 2005-12-24 | |
| dc.date.accessioned | 2026-07-07T06:40:03Z | |
| dc.date.available | 2026-07-07T06:40:03Z | |
| dc.description | Let p be a prime and F(p) the maximal p-extension of a field F containing a primitive p-th root of unity. We give a new characterization of Demuskin groups among Galois groups Gal(F(p)/F) when p=2, and, assuming the Elementary Type Conjecture, when p>2 as well. This characterization is in terms of the structure, as Galois modules, of the Galois cohomology of index p subgroups of Gal(F(p)/F). | |
| dc.description | v2 (20 pages); added theorem characterizing decompositions into free and trivial modules; to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0505543 | |
| dc.identifier | http://arxiv.org/abs/math/0505543 | |
| dc.identifier | J. Algebra 304 (2006), no. 2, 1130--1146 | |
| dc.identifier | doi:10.1016/j.jalgebra.2005.12.021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101299 | |
| dc.subject | Number Theory | |
| dc.subject | 12G05; 20E18 | |
| dc.title | Demuskin groups, Galois modules, and the elementary type conjecture | |
| dc.type | text |