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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.
Received: 11.10.2017
Citation:
A. A. Pypka, “On some non-periodic groups whose cyclic subgroups are $GNA$-subgroups”, Algebra Discrete Math., 29:1 (2020), 109–116
Linking options:
https://www.mathnet.ru/eng/adm743 https://www.mathnet.ru/eng/adm/v29/i1/p109
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Abstract page: | 56 | Full-text PDF : | 26 | References: | 18 |
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