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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 2, Pages 279–289
DOI: https://doi.org/10.1070/IM1981v016n02ABEH001307 (Mi im1668) 		 
This article is cited in 31 scientific papers (total in 31 papers)

An infinite group with subgroups of prime orders

A. Yu. Ol'shanskii
English version PDF (656 kB) Citations (31)
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DOI: https://doi.org/10.1070/IM1981v016n02ABEH001307
Abstract: An infinite nonabelian group all of whose proper subgroups have prime order is constructed. This solves a problem of O. Yu. Schmidt. The proof involves modifying and extending the series of lemmas in an earlier paper of the author.
Bibliography: 3 titles.
Received: 20.12.1978
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 2, Pages 309–321
Bibliographic databases:
UDC: 512
MSC: Primary 20F10; Secondary 03D40
Language: English
Original paper language: Russian
Citation: A. Yu. Ol'shanskii, “An infinite group with subgroups of prime orders”, Izv. Akad. Nauk SSSR Ser. Mat., 44:2 (1980), 309–321; Math. USSR-Izv., 16:2 (1981), 279–289
Citation in format AMSBIB
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\by A.~Yu.~Ol'shanskii
\paper An infinite group with subgroups of prime orders
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1980
\vol 44
\issue 2
\pages 309--321
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=571100}
\zmath{https://zbmath.org/?q=an:0475.20025}
\transl
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 2
\pages 279--289
\crossref{https://doi.org/10.1070/IM1981v016n02ABEH001307}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MK40900004}
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  • https://doi.org/10.1070/IM1981v016n02ABEH001307
  • https://www.mathnet.ru/eng/im/v44/i2/p309
    • This publication is cited in the following 31 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:1538
    Russian version PDF:728
    English version PDF:82
    References:91
    First page:1
     
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