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Mathematics of the USSR-Izvestiya, 1992, Volume 38, Issue 1, Pages 27–67
DOI: https://doi.org/10.1070/IM1992v038n01ABEH002186 (Mi im1021) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Abelian subgroups of Galois groups

F. A. Bogomolov
English version PDF (2699 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1992v038n01ABEH002186
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1991, Volume 55, Issue 1, Pages 32–67
Bibliographic databases:
Document Type: Article
UDC: 512.76+512.664.4
MSC: Primary 12F10; Secondary 13A20, 19C30, 51A99
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
\Bibitem{Bog91}
\by F.~A.~Bogomolov
\paper Abelian subgroups of Galois groups
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1991
\vol 55
\issue 1
\pages 32--67
\mathnet{http://mi.mathnet.ru/im1021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1130027}
\zmath{https://zbmath.org/?q=an:0815.12004|0736.12004}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..38...27B}
\transl
\jour Math. USSR-Izv.
\yr 1992
\vol 38
\issue 1
\pages 27--67
\crossref{https://doi.org/10.1070/IM1992v038n01ABEH002186}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992HG30700002}
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  • https://doi.org/10.1070/IM1992v038n01ABEH002186
  • https://www.mathnet.ru/eng/im/v55/i1/p32
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:479
    Russian version PDF:185
    English version PDF:25
    References:40
    First page:1
     
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