This article is cited in 10 papers

On groups of limited permutations

Nikolay M. Suchkov, Nadezhda G. Suchkova

Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia

Abstract: 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.

Keywords: group, limited permutations, involution, factorization.

UDC: 519.45

Received: 18.01.2010
Received in revised form: 25.03.2010
Accepted: 10.04.2010