V. D. Mazurov, A. S. Mamontov, “On periodic groups with small orders of elements”, Sibirsk. Mat. Zh., 2009, Volume 50, Number 2,Pages <nobr>397

This article is cited in 9 papers

On periodic groups with small orders of elements

V. D. Mazurov^a, A. S. Mamontov^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk St. University, Mechanics and Mathematics Department, Novosibirsk

Abstract: We prove that a finite group with the set of element orders equal to $\{1,2,3,5,6\}$ is locally finite.

Keywords: periodic group, locally finite group, spectrum.

UDC: 512.5

Received: 16.01.2009