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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 1, Pages 116–121 (Mi jsfu228)  
This article is cited in 3 scientific papers (total in 3 papers)

On permutation groups with finite parameters of dispersion

Nikolai M. Suchkova, Andrey A. Mankova, Yury S. Tarasovb

a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Krasnoyarsk Branch, International Academy of Ecology and Nature Management, Krasnoyarsk, Russia
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Abstract: We study the permutation group $G$ of set natural numbers $N$ with finite parameters of dispersion. We give proof, that every finite subset of $G$ lies in a subgroup $Q=AB$, where $A,B$ are a local finite approximated subgroups of $G$.
Keywords: group, permutation, parameter of dispersion.
Received: 21.06.2011
Received in revised form: 25.09.2011
Accepted: 11.10.2011
Document Type: Article
UDC: 519.45
Language: Russian
Citation: Nikolai M. Suchkov, Andrey A. Mankov, Yury S. Tarasov, “On permutation groups with finite parameters of dispersion”, J. Sib. Fed. Univ. Math. Phys., 5:1 (2012), 116–121
Citation in format AMSBIB
\Bibitem{SucManTar12}
\by Nikolai~M.~Suchkov, Andrey~A.~Mankov, Yury~S.~Tarasov
\paper On permutation groups with finite parameters of dispersion
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 1
\pages 116--121
\mathnet{http://mi.mathnet.ru/jsfu228}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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