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Algebra and Discrete Mathematics, 2020, Volume 29, Issue 1, Pages 109–116
DOI: https://doi.org/10.12958/adm548 (Mi adm743) 		 
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
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DOI: https://doi.org/10.12958/adm548
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.
Received: 11.10.2017
Bibliographic databases:
Document Type: Article
MSC: 20F16, 20F18, 20F19, 20F22
Language: English
Citation: A. A. Pypka, “On some non-periodic groups whose cyclic subgroups are $GNA$-subgroups”, Algebra Discrete Math., 29:1 (2020), 109–116
Citation in format AMSBIB
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\paper On some non-periodic groups whose cyclic subgroups are $GNA$-subgroups
\jour Algebra Discrete Math.
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\vol 29
\issue 1
\pages 109--116
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