Leonid A. Kurdachenko, Aleksandr A. Pypka, Nikolaj N. Semko, “The groups whose cyclic subgroups are either ascendant or almost self-normalizing”, Algebra Discrete Math., 2016, Volume 21, Issue 1,Pages <nobr>111

This article is cited in 3 papers

RESEARCH ARTICLE

The groups whose cyclic subgroups are either ascendant or almost self-normalizing

Leonid A. Kurdachenko^a, Aleksandr A. Pypka^a, Nikolaj N. Semko^b

^a Department of Geometry and Algebra, Oles Honchar Dnipropetrovsk National University, Gagarin prospect, 72, Dnipropetrovsk, 49010, Ukraine
^b Department of Mathematics, National University of The State Tax Service of Ukraine, Irpen, Ukraine

Abstract: The main result of this paper shows a description of locally finite groups, whose cyclic subgroups are either almost self-normalizing or ascendant. Also, we obtained some natural corollaries of the above situation.

Keywords: locally finite group, self-normalizing subgroup, ascendant subgroup, subnormal subgroup, Gruenberg radical, Baer radical.

MSC: 20E15, 20F19, 20F22, 20F50

Received: 10.11.2015

Language: English