On uniform permutations with finite dispersion parameters |
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Authors: | N. M. Suchkov Yu. S. Tarasov |
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Affiliation: | 1.Institute of Mathematics and Computer Science,Siberian Federal University,Krasnoyarsk,Russia;2.Krasnoyarsk Division of the Academy of Ecology and Natural Resource Management,Krasnoyarsk,Russia |
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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. |
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