On the Dec group of finite abelian Galois extensions over global fields
| dc.creator | Nganou, Jean B | |
| dc.date | 2008-12-12 | |
| dc.date.accessioned | 2026-07-07T12:12:28Z | |
| dc.date.available | 2026-07-07T12:12:28Z | |
| dc.description | If K/F is a finite abelian Galois extension of global fields whose Galois group has exponent t, we prove that there exists a short exact sequence that has as a consequence that if t is square free, then Dec(K/F)=Br_{t}(K/F) which we use to show that prime exponent division algebras over Henselian valued fields with global residue fields are isomorphic to a tensor product of cyclic algebras. Finally, we construct a counterexample to the result for higher exponent division algebras. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0812.2433 | |
| dc.identifier | http://arxiv.org/abs/0812.2433 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210552 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16K50 | |
| dc.title | On the Dec group of finite abelian Galois extensions over global fields | |
| dc.type | text |