On uniform permutations with finite dispersion parameters
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 284-289
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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 $G$.
Mots-clés :
group, uniform permutation
Keywords: dispersion parameter.
Keywords: dispersion parameter.
@article{TIMM_2013_19_3_a29,
author = {N. M. Suchkov and Yu. S. Tarasov},
title = {On uniform permutations with finite dispersion parameters},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {284--289},
year = {2013},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_3_a29/}
}
N. M. Suchkov; Yu. S. Tarasov. On uniform permutations with finite dispersion parameters. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 284-289. http://geodesic.mathdoc.fr/item/TIMM_2013_19_3_a29/
[1] Kargapolov M. I., Merzlyakov Yu. I., Osnovy teorii grupp, Nauka, M., 1982, 288 pp. | MR | Zbl
[2] Suchkov N. M., “Primer smeshannoi gruppy, faktorizuemoi dvumya periodicheskimi podgruppami”, Algebra i logika, 23:5 (1984), 573–577 | MR | Zbl
[3] Suchkov N. M., “O podgruppakh proizvedeniya lokalno konechnykh grupp”, Algebra i logika, 24:4 (1985), 408–413 | MR | Zbl
[4] Suchkov N. M., Mankov A. A., Tarasov Yu. S., “Gruppy podstanovok s konechnymi parametrami rasseivaniya”, Zhurn. Sib. feder. un-ta. Matematika i fizika, 5:1 (2012), 116–121