A. I. Sozutov, E. B. Durakov, “On groups with a Frobenius element”, Sibirsk. Mat. Zh., 2018, Volume 59, Number 5,Pages <nobr>1179

On groups with a Frobenius element

A. I. Sozutov, E. B. Durakov

Siberian Federal University, Krasnoyarsk, Russia

Abstract: We study groups with an $H$-Frobenius element and the nilpotent kernels of the corresponding Frobenius subgroups. We prove the two theorems that solve Question 10.61 of “The Kourovka Notebook” in this case.

Keywords: group, infinite group with finiteness conditions, Frobenius group, Frobenius subgroup, $H$-Frobenius element.

UDC: 512.544

MSC: 35R30

Received: 27.11.2017

DOI: 10.17377/smzh.2018.59.518