This article is cited in 4 papers

Mathematical logic, algebra and number theory

On normal subgroups of limited permutation groups

N. M. Suchkov, N. G. Suchkova

Siberian Federal University, pr. Svobodny, 79, 660041 Krasnoyarsk, Russia

Abstract: In this paper we describe the commutator subgroups of limited permutation groups $F=\mathrm{Lim}(Z)$, $G=\mathrm{Lim}(N)$ of the sets of integers $Z$ and natural numbers $N$. The connection between a complite dispersion subsets of $N$ and local finite normal subgroups of $G$ is investigated.

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

UDC: 512.54

MSC: 20B07, 20B30, 20B35

Received March 13, 2015, published May 29, 2015

DOI: 10.17377/semi.2015.12.028