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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 3, Pages 600–608 (Mi smj1315)  
This article is cited in 6 scientific papers (total in 6 papers)

On a free action of a group on an Abelian group

V. D. Mazurov, V. A. Churkin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (206 kB) Citations (6)
Abstract: Let $x$ be an element of order 3 in a group $G$ acting freely on a nontrivial abelian group. If for every $g\in G$ the order of the commutator $[x,g]$ is finite then x belongs to a finite normal subgroup of $G$.
Received: 10.04.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 3, Pages 480–486
DOI: https://doi.org/10.1023/A:1015463518898
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: V. D. Mazurov, V. A. Churkin, “On a free action of a group on an Abelian group”, Sibirsk. Mat. Zh., 43:3 (2002), 600–608; Siberian Math. J., 43:3 (2002), 480–486
Citation in format AMSBIB
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\paper On a~free action of a~group on an Abelian group
\jour Sibirsk. Mat. Zh.
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\vol 43
\issue 3
\pages 600--608
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1916806}
\zmath{https://zbmath.org/?q=an:1009.20039}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 3
\pages 480--486
\crossref{https://doi.org/10.1023/A:1015463518898}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000176346500009}
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  • https://www.mathnet.ru/eng/smj/v43/i3/p600
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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