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Algebra and Discrete Mathematics, 2017, Volume 24, Issue 2, Pages 308–319
(Mi adm636)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 06.06.2017
Citation:
Aleksandr A. Pypka, “On locally finite groups whose cyclic subgroups are $\mathrm{GNA}$-subgroups”, Algebra Discrete Math., 24:2 (2017), 308–319
Linking options:
https://www.mathnet.ru/eng/adm636 https://www.mathnet.ru/eng/adm/v24/i2/p308
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Abstract page: | 122 | Full-text PDF : | 70 | References: | 27 |
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