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RESEARCH ARTICLE

On locally finite groups whose cyclic subgroups are $\mathrm{GNA}$-subgroups

Aleksandr A. Pypka

Department of Geometry and Algebra, Faculty of Mechanics and Mathematics, Oles Honchar Dnipro National University, Gagarin ave., 72, Dnipro, 49010, Ukraine

Abstract: In this paper we obtain the description of locally finite groups whose cyclic subgroups are $\mathrm{GNA}$-subgroups.

Keywords: normal subgroup, abnormal subgroup, pronormal subgroup, self-normalizing subgroup, $\mathrm{GNA}$-subgroup, locally finite group, locally nilpotent residual.

MSC: 20E15, 20F16, 20F18, 20F19, 20F50

Received: 06.06.2017

Language: English

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