RESEARCH ARTICLE

On some non-periodic groups whose cyclic subgroups are $GNA$-subgroups

A. 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 non-periodic locally generalized radical groups whose cyclic subgroups are $GNA$-subgroups.

Keywords: normal subgroup, abnormal subgroup, pronormal subgroup, self-normalizing subgroup, $GNA$-subgroup, locally nilpotent radical, locally finite radical, (generalized) radical group.

MSC: 20F16, 20F18, 20F19, 20F22

Received: 11.10.2017

Language: English

DOI: 10.12958/adm548

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