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Sib. Èlektron. Mat. Izv., 2015, Volume 12, Pages 344–353
(Mi semr591)
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This article is cited in 4 scientific papers (total in 4 papers)
Mathematical logic, algebra and number theory
On normal subgroups of limited permutation groups
N. M. Suchkov, N. G. Suchkova Siberian Federal University, pr. Svobodny, 79, 660041 Krasnoyarsk, Russia
Abstract:
In this paper we describe the commutator subgroups of limited permutation groups $F=\mathrm{Lim}(Z)$, $G=\mathrm{Lim}(N)$ of the sets of integers $Z$ and natural numbers $N$. The connection between a complite dispersion subsets of $N$ and local finite normal subgroups of $G$ is investigated.
Keywords:
group, limited permutation, complite dispersion set, normal subgroup, involution.
DOI:
https://doi.org/10.17377/semi.2015.12.028
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UDC:
512.54
MSC: 20B07, 20B30, 20B35 Received March 13, 2015, published May 29, 2015
Citation:
N. M. Suchkov, N. G. Suchkova, “On normal subgroups of limited permutation groups”, Sib. Èlektron. Mat. Izv., 12 (2015), 344–353
Citation in format AMSBIB
\Bibitem{SucSuc15}
\by N.~M.~Suchkov, N.~G.~Suchkova
\paper On normal subgroups of limited permutation groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 344--353
\mathnet{http://mi.mathnet.ru/semr591}
\crossref{https://doi.org/10.17377/semi.2015.12.028}
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http://mi.mathnet.ru/eng/semr591 http://mi.mathnet.ru/eng/semr/v12/p344
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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Yuri S. Tarasov, “On normal closures of involutions in the group of limited permutations”, Zhurn. SFU. Ser. Matem. i fiz., 9:3 (2016), 393–400
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N. M. Suchkov, N. G. Suchkova, “O lokalno konechnom radikale gruppy ogranichennykh podstanovok”, Tr. IMM UrO RAN, 22, no. 3, 2016, 259–264
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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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A. I. Sozutov, N. M. Suchkov, N. G. Suchkova, “O podgruppakh gruppy $\mathrm{Lim}(N)$”, Sib. elektron. matem. izv., 17 (2020), 208–217
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