|
This article is cited in 7 scientific papers (total in 7 papers)
Abelian subgroups of Galois groups
F. A. Bogomolov
Abstract:
The author proves that every Abelian subgroup of rank $>1$ in the Galois group $G=\operatorname{Gal}(\overline K/K)$ of the algebraic closure of a rational function field $K$ is contained in a ramification subgroup, and also that the unramified Brauer group $\operatorname{Br}_vK$ equals the unramified Brauer group $\operatorname{Br}_v(G^c)$ defined in [2], §3, where $G^c$ is the quotient group $ G^c= G/[[G,G],G]$.
Received: 01.11.1989
Citation:
F. A. Bogomolov, “Abelian subgroups of Galois groups”, Izv. Akad. Nauk SSSR Ser. Mat., 55:1 (1991), 32–67; Math. USSR-Izv., 38:1 (1992), 27–67
Linking options:
https://www.mathnet.ru/eng/im1021https://doi.org/10.1070/IM1992v038n01ABEH002186 https://www.mathnet.ru/eng/im/v55/i1/p32
|
Statistics & downloads: |
Abstract page: | 491 | Russian version PDF: | 188 | English version PDF: | 28 | References: | 45 | First page: | 1 |
|