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Mathematics of the USSR-Izvestiya, 1980, Volume 14, Issue 2, Pages 367–382
DOI: https://doi.org/10.1070/IM1980v014n02ABEH001114
(Mi im1689)
 

This article is cited in 8 scientific papers (total in 8 papers)

Embedding theorems for profinite groups

V. N. Remeslennikov
References:
Abstract: Suppose that the profinite group $G$ is an extension of $A$ by $H$. In this paper the profinite subgroups of the topological group of continuous maps from $H$ to $A$ are investigated. The results obtained are used to prove topological analogues for profinite groups of the Frobenius and Magnus embedding theorems. Moreover, a sufficient condition is formulated for a pro-$p$-group that is an extension of an abelian group by a finitely presented group to be finitely presented, in the language of complete tensor products of abelian pro-$p$-groups; and this condition is used to prove that a finitely generated metabelian pro-$p$-group is a subgroup of a finitely presented metabelian pro-$p$-group.
Bibliography: 14 titles.
Received: 06.01.1978
Bibliographic databases:
UDC: 519.4
MSC: Primary 20E18, 22A99; Secondary 20F05
Language: English
Original paper language: Russian
Citation: V. N. Remeslennikov, “Embedding theorems for profinite groups”, Math. USSR-Izv., 14:2 (1980), 367–382
Citation in format AMSBIB
\Bibitem{Rem79}
\by V.~N.~Remeslennikov
\paper Embedding theorems for profinite groups
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 2
\pages 367--382
\mathnet{http://mi.mathnet.ru//eng/im1689}
\crossref{https://doi.org/10.1070/IM1980v014n02ABEH001114}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=534600}
\zmath{https://zbmath.org/?q=an:0433.20026|0414.20027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM96800009}
Linking options:
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  • https://doi.org/10.1070/IM1980v014n02ABEH001114
  • https://www.mathnet.ru/eng/im/v43/i2/p399
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:419
    Russian version PDF:119
    English version PDF:27
    References:73
    First page:1
     
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