On normal subgroups of limited permutation groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 344-353
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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.
Mots-clés :
group, complite dispersion set
Keywords: limited permutation, normal subgroup, involution.
Keywords: limited permutation, normal subgroup, involution.
@article{SEMR_2015_12_a15,
author = {N. M. Suchkov and N. G. Suchkova},
title = {On normal subgroups of limited permutation groups},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {344--353},
publisher = {mathdoc},
volume = {12},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a15/}
}
N. M. Suchkov; N. G. Suchkova. On normal subgroups of limited permutation groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 344-353. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a15/