Yuri S. Tarasov, “On normal closures of involutions in the group of limited permutations”, J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 3,Pages <nobr>393

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On normal closures of involutions in the group of limited permutations

Yuri S. Tarasov

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: We study the group $G=Lim(N)$ of limited permutations of a set $N$ of all natural numbers. Found the link between the dispersion subsets of a set $N$ and normal subgroups of $G$.

Keywords: group, limited permutation, dispersion set, normal subgroup, involution.

UDC: 512.54

Received: 10.03.2016
Received in revised form: 08.05.2016
Accepted: 20.06.2016

Language: English

DOI: 10.17516/1997-1397-2016-9-3-393-400