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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2014 Volume 11, Pages 345–353 (Mi semr492)
Mathematical logic, algebra and number theory

On generators of the permutation groups with finite dispersion parameters

N. M. Suchkova, Yu. S. Tarasovb

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

Abstract: It is proved that permutation groups of the sets of integers and natural numbers with finite dispersion parameters may be generated by a permutations, for which dispersion parameter is equal to the unit.

Keywords: permutation group, generate, dispersion parameter.

UDC: 512.54

MSC: 13A99

Received March 1, 2014, published May 20, 2014


© Steklov Math. Inst. of RAS, 2024