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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 284–289
(Mi timm987)
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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.
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
Linking options:
https://www.mathnet.ru/eng/timm987 https://www.mathnet.ru/eng/timm/v19/i3/p284
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