On the scope of validity of the norm limitation theorem for quasilocal fields
| dc.creator | Chipchakov, I. D. | |
| dc.date | 2005-11-23 | |
| dc.date.accessioned | 2026-07-07T06:51:39Z | |
| dc.date.available | 2026-07-07T06:51:39Z | |
| dc.description | Let $E$ be a quasilocal field, $R/E$ a finite separable extension, and $R _{\rm ab}$ the maximal abelian subextension of $E$ in $R$. The main result of this paper shows that the norm groups $N(R/E)$ and $N(R_{\rm ab}/E)$ are equal, if the natural Brauer group homomorphism Br$(E) \to $ Br$(L)$ is surjective, for every finite extension $L$ of $E$. The paper proves in a strong form that the surjectivity of the homomorphisms Br$(E) \to $ Br$(L)$ is essential. | |
| dc.description | 20 pages, Plain Tex | |
| dc.identifier | https://arxiv.org/abs/math/0511587 | |
| dc.identifier | http://arxiv.org/abs/math/0511587 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105059 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Number Theory | |
| dc.subject | 11S31, 12F10 (Primary) 12J10 (Secondary) | |
| dc.title | On the scope of validity of the norm limitation theorem for quasilocal fields | |
| dc.type | text |