Geodesic
On groups of limited permutations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 262-266.

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

We study the groups $F,G$ of bounded permutations of the sets $Z$ and $N$, respectively. It is proved that $F$ and $G$ are nonisomorphic. We provide a factorization of $G$ by locally finite subgroups and specify its generating involutions.
Mots-clés : group
Keywords: limited permutations, involution, factorization. 
@article{JSFU_2010_3_2_a12,
     author = {Nikolay M. Suchkov and Nadezhda G. Suchkova},
     title = {On groups of limited permutations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {262--266},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a12/}
}
TY  - JOUR
AU  - Nikolay M. Suchkov
AU  - Nadezhda G. Suchkova
TI  - On groups of limited permutations
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2010
SP  - 262
EP  - 266
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a12/
LA  - ru
ID  - JSFU_2010_3_2_a12
ER  - 
%0 Journal Article
%A Nikolay M. Suchkov
%A Nadezhda G. Suchkova
%T On groups of limited permutations
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2010
%P 262-266
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a12/
%G ru
%F JSFU_2010_3_2_a12
Nikolay M. Suchkov; Nadezhda G. Suchkova. On groups of limited permutations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 262-266. http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a12/

[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] M. I. Kargapolov, Yu. I. Merzlyakov, Osnovy teorii grupp, Nauka, M., 1982 | MR | Zbl