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This article is cited in 2 scientific papers (total in 2 papers)
On uniform permutations with finite dispersion parameters
N. M. Suchkova, Yu. S. Tarasovb
a Siberian Federal University
b Krasnoyarsk Branch, International Academy of Ecology and Nature Management, Krasnoyarsk
Abstract:
We study the group $G$ of uniform permutations of the set of integers with finite dispersion parameters. We prove that every finite subset of $G$ lies in a subgroup of the form $Q=AB$, where $A$ and $B$ are locally finitely approximable subgroups of $G$.
Keywords:
group, uniform permutation, dispersion parameter.
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Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, 285, suppl. 1, S163–S168
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UDC:
512.54
Received: 23.05.2012
Citation:
N. M. Suchkov, Yu. S. Tarasov, “On uniform permutations with finite dispersion parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 3, 2013, 284–289; Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S163–S168
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/timm987 http://mi.mathnet.ru/eng/timm/v19/i3/p284
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This publication is cited in the following articles:
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N. M. Suchkov, Yu. S. Tarasov, “O porozhdayuschikh grupp podstanovok s konechnymi parametrami rasseivaniya”, Sib. elektron. matem. izv., 11 (2014), 345–353
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N. M. Suchkov, N. G. Suchkova, “O normalnykh podgruppakh grupp ogranichennykh podstanovok”, Sib. elektron. matem. izv., 12 (2015), 344–353
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