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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N. M. Suchkov, A. A. Man’kov, and Yu. S. Tarasov, “Permutation groups with finite dispersion parameters,” Zh. Sib. Fed. Univ., Ser. Mat. Fiz. 5(1), 116–121 (2012).
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Original Russian Text © N.M. Suchkov, Yu.S. Tarasov, 2013, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Vol. 19, No. 3.
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Suchkov, N.M., Tarasov, Y.S. On uniform permutations with finite dispersion parameters. Proc. Steklov Inst. Math. 285 (Suppl 1), 163–168 (2014). https://doi.org/10.1134/S0081543814050186
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DOI: https://doi.org/10.1134/S0081543814050186