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This article is cited in 1 scientific paper (total in 1 paper)
On normal closures of involutions in the group of limited permutations
Yuri S. Tarasov Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Abstract:
We study the group $G=Lim(N)$ of limited permutations of a set $N$ of all natural numbers. Found the link between the dispersion subsets of a set $N$ and normal subgroups of $G$.
Keywords:
group, limited permutation, dispersion set, normal subgroup, involution.
DOI:
https://doi.org/10.17516/1997-1397-2016-9-3-393-400
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UDC:
512.54 Received: 10.03.2016 Received in revised form: 08.05.2016 Accepted: 20.06.2016
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Citation:
Yuri S. Tarasov, “On normal closures of involutions in the group of limited permutations”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 393–400
Citation in format AMSBIB
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\by Yuri~S.~Tarasov
\paper On normal closures of involutions in the group of limited permutations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 3
\pages 393--400
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\crossref{https://doi.org/10.17516/1997-1397-2016-9-3-393-400}
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http://mi.mathnet.ru/eng/jsfu498 http://mi.mathnet.ru/eng/jsfu/v9/i3/p393
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This publication is cited in the following articles:
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N. M. Suchkov, N. G. Suchkova, “Normalnye zamykaniya elementov v gruppe $\mathrm{Lim}(N)$”, Sib. elektron. matem. izv., 16 (2019), 158–164
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