On the residue fields of Henselian valued stable fields, II
| dc.creator | Chipchakov, I. D. | |
| dc.date | 2007-04-12 | |
| dc.date.accessioned | 2026-07-07T07:56:20Z | |
| dc.date.available | 2026-07-07T07:56:20Z | |
| dc.description | Let $E$ be a primarily quasilocal field, $M/E$ a finite Galois extension and $D$ a central division $E$-algebra of index divisible by $[M\colon E]$. In addition to the main result of Part I, this part of the paper shows that if the Galois group $G(M/E)$ is not nilpotent, then $M$ does not necessarily embed in $D$ as an $E$-subalgebra. When $E$ is quasilocal, we find the structure of the character group of its absolute Galois group; this enables us to prove that if $E$ is strictly quasilocal and almost perfect, then the divisible part of the multiplicative group $E ^{\ast}$ equals the intersection of the norm groups of finite Galois extensions of $E$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1557 | |
| dc.identifier | http://arxiv.org/abs/0704.1557 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127270 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16K20; 12E15; 12F10; 12J10 | |
| dc.title | On the residue fields of Henselian valued stable fields, II | |
| dc.type | text |