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Mathematics of the USSR-Sbornik, 1981, Volume 39, Issue 1, Pages 125–132
DOI: https://doi.org/10.1070/SM1981v039n01ABEH001476 (Mi sm2495) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the elementary theory of an almost polycyclic group

N. S. Romanovskii
English version PDF (610 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1981v039n01ABEH001476
Abstract: It is proved that the elementary theory of an almost polycyclic group is decidable if and only if this group is almost abelian. This generalizes the corresponding assertion on a finitely generated nilpotent group, proved earlier by Yu. L. Ershov.
Bibliography: 6 titles.
Received: 09.11.1977
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 111(153), Number 1, Pages 135–143
Bibliographic databases:
UDC: 519.443
MSC: 20F16, 20A15
Language: English
Original paper language: Russian
Citation: N. S. Romanovskii, “On the elementary theory of an almost polycyclic group”, Mat. Sb. (N.S.), 111(153):1 (1980), 135–143; Math. USSR-Sb., 39:1 (1981), 125–132
Citation in format AMSBIB
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\by N.~S.~Romanovskii
\paper On the elementary theory of an almost polycyclic group
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 111(153)
\issue 1
\pages 135--143
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\zmath{https://zbmath.org/?q=an:0462.20029|0424.20031}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 39
\issue 1
\pages 125--132
\crossref{https://doi.org/10.1070/SM1981v039n01ABEH001476}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LQ97300006}
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  • https://doi.org/10.1070/SM1981v039n01ABEH001476
  • https://www.mathnet.ru/eng/sm/v153/i1/p135
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:365
    Russian version PDF:121
    English version PDF:6
    References:60
    First page:2
     
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