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Mathematics of the USSR-Izvestiya, 1980, Volume 15, Issue 3, Pages 531–588
DOI: https://doi.org/10.1070/IM1980v015n03ABEH001268 (Mi im1758) 		 
This article is cited in 17 scientific papers (total in 17 papers)

An infinite simple Noetherian group without torsion

A. Yu. Ol'shanskii
English version PDF (3306 kB) Citations (17)
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DOI: https://doi.org/10.1070/IM1980v015n03ABEH001268
Abstract: The well-known Baer conjecture on the “almost polycyclicity” of any Noetherian group is refuted; an example is constructed in terms of generators and defining relations. A complicated simultaneous induction on rank is based on a geometric interpretation of the deducibility of relations from defining relations.
Bibliography: 6 titles.
Received: 24.10.1978
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1979, Volume 43, Issue 6, Pages 1328–1393
Bibliographic databases:
UDC: 512
MSC: Primary 20E15; Secondary 20F05, 20E32
Language: English
Original paper language: Russian
Citation: A. Yu. Ol'shanskii, “An infinite simple Noetherian group without torsion”, Izv. Akad. Nauk SSSR Ser. Mat., 43:6 (1979), 1328–1393; Math. USSR-Izv., 15:3 (1980), 531–588
Citation in format AMSBIB
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\by A.~Yu.~Ol'shanskii
\paper An infinite simple Noetherian group without torsion
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1979
\vol 43
\issue 6
\pages 1328--1393
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=567039}
\zmath{https://zbmath.org/?q=an:0453.20024|0431.20027}
\transl
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 3
\pages 531--588
\crossref{https://doi.org/10.1070/IM1980v015n03ABEH001268}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LF66600006}
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  • https://doi.org/10.1070/IM1980v015n03ABEH001268
  • https://www.mathnet.ru/eng/im/v43/i6/p1328
    • This publication is cited in the following 17 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
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    Abstract page:592
    Russian version PDF:226
    English version PDF:35
    References:77
    First page:1
     
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