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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 2, Pages 394–398 (Mi smj1077)  
This article is cited in 8 scientific papers (total in 8 papers)

An analog of the Baer–Suzuki theorem for infinite groups

A. S. Mamontov

Novosibirsk State University, Mechanics and Mathematics Department
Full-text PDF (158 kB) Citations (8)
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Abstract: We consider a group without infinite ascending chains of nilpotent subgroups and prove that if every two elements of some conjugacy class generates a nilpotent subgroup then the whole class also generates a nilpotent subgroup.
Keywords: group, nilpotent group, Baer–Suzuki theorem, conjugacy class.
Received: 08.08.2003
Revised: 31.10.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 2, Pages 327–330
DOI: https://doi.org/10.1023/B:SIMJ.0000021288.57892.c6
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. S. Mamontov, “An analog of the Baer–Suzuki theorem for infinite groups”, Sibirsk. Mat. Zh., 45:2 (2004), 394–398; Siberian Math. J., 45:2 (2004), 327–330
Citation in format AMSBIB
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\by A.~S.~Mamontov
\paper An analog of the Baer--Suzuki theorem for infinite groups
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\yr 2004
\vol 45
\issue 2
\pages 394--398
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\zmath{https://zbmath.org/?q=an:1079.20049}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 2
\pages 327--330
\crossref{https://doi.org/10.1023/B:SIMJ.0000021288.57892.c6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000220959600012}
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    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
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