Geodesic
On normal subgroups of limited permutation groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 344-353.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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/}
}
TY  - JOUR
AU  - N. M. Suchkov
AU  - N. G. Suchkova
TI  - On normal subgroups of limited permutation groups
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2015
SP  - 344
EP  - 353
VL  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2015_12_a15/
LA  - ru
ID  - SEMR_2015_12_a15
ER  - 
%0 Journal Article
%A N. M. Suchkov
%A N. G. Suchkova
%T On normal subgroups of limited permutation groups
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2015
%P 344-353
%V 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2015_12_a15/
%G ru
%F 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/

[1] N. M. Suchkov, “Primer smeshannoi gruppy, faktorizuemoi dvumya periodicheskimi podgruppami”, Algebra i logika, 23:5 (1984), 573–577 | MR | Zbl

[2] N. M. Suchkov, “O podgruppakh proizvedeniya lokalno konechnykh grupp”, Algebra i logika, 24:4 (1985), 408–413 | MR | Zbl

[3] N. M. Suchkov, “O gruppe ogranichennykh perestanovok”, Konstruktsii v algebre i logike, Sbornik nauchnykh trudov, Tver, 1990, 84–89 | MR

[4] N. M. Suchkov, N. G. Suchkova, “O gruppakh ogranichennykh podstanovok”, Zhurnal SFU, Matematika i fizika, 3:2 (2010), 262–266

[5] N. M. Suchkov, A. A. Mankov, Yu. S. Tarasov, “Gruppy podstanovok s konechnymi parametrami rasseivaniya”, Zhurnal SFU, Matematika i fizika, 5:1 (2012), 116–121

[6] N. M. Suchkov, Yu. S. Tarasov, “O ravnomernykh podstanovkakh s konechnymi parametrami rasseivaniya”, Tr. IMM UrO RAN, 19, no. 3, 2013, 284–289

[7] M. I. Kargapolov, Yu. I. Merzlyakov, Osnovy teorii grupp, Izd. Lan, 2009 | MR