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.
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 -
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/