Nikolai M. Suchkov, Andrey A. Mankov, Yury S. Tarasov, “On permutation groups with finite parameters of dispersion”, J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 1,Pages <nobr>116

This article is cited in 3 papers

On permutation groups with finite parameters of dispersion

Nikolai M. Suchkov^a, Andrey A. Mankov^a, Yury S. Tarasov^b

^a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
^b Krasnoyarsk Branch, International Academy of Ecology and Nature Management, Krasnoyarsk, Russia

Abstract: We study the permutation group $G$ of set natural numbers $N$ with finite parameters of dispersion. We give proof, that every finite subset of $G$ lies in a subgroup $Q=AB$, where $A,B$ are a local finite approximated subgroups of $G$.

Keywords: group, permutation, parameter of dispersion.

UDC: 519.45

Received: 21.06.2011
Received in revised form: 25.09.2011
Accepted: 11.10.2011