A. M. Popov, A. I. Sozutov, “On groups with Frobenius elements”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 2,Pages <nobr>436

This article is cited in 1 paper

On groups with Frobenius elements

A. M. Popov^a, A. I. Sozutov^ab

^a M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk, Russia
^b Siberian Federal University, Krasnoyarsk, Russia

Abstract: We find the conditions under which the set-theoretic union of the kernels of two-generated Frobenius subgroups of a group $G$ with fixed cyclic complement of order $3n$ is a normal subgroup in $G$.

Keywords: Frobenius group, system of Frobenius subgroups, $H$-Frobenius element.

UDC: 512.54

Received: 02.04.2014