On some generalizations of pronormal subgroups

Authors

  • A.A. Pypka Oles Honchar Dnipro National University

DOI:

https://doi.org/10.15407/dopovidi2018.06.017

Keywords:

generalized radical group, GNA-subgroup, locally finite group, monopronormal subgroup, pronormal subgroup

Abstract

Some infinite groups, whose cyclic subgroups are GNA-subgroups (monopronormal subgroups), are discribed.

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References

Ba, M. S. & Borevich Z. I. (1988). On arrangement of intermediate subgroups. Rings and linear groups (pp. 14-41). Krasnodar (in Russian).

Pypka, A. A. & Turbay, N. A. (2015). On GNA-subgroups in locally finite groups. Izv. GGU im. F. Scoriny, No. 6, pp. 97-100.

Dedekind, R. (1897). Ueber Gruppen, deren sämmtliche Theiler Normaltheiler sind. Math. Ann., 48, No. 4, pp. 548-561. doi: https://doi.org/10.1007/BF01447922

Baer, R. (1933). Situation der Untergruppen und Struktur der Gruppe. S.-B. Heidelberg Acad. Math.-Nat. Klasse., 2, pp. 12-17.

Pypka, A. A. & Turbay, N. A. (2015). On some generalization of pronormal subgroups in locally finite groups. Dnipro University Mathematics Bulletin, Iss. 20, pp. 107-110.

Ol‘shanskii, A. Yu. (1991). Geometry of defining relations in groups. Dordrecht etc.: Kluwer. doi: https://doi.org/10.1007/978-94-011-3618-1

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Published

15.05.2024

How to Cite

Pypka, A. (2024). On some generalizations of pronormal subgroups . Reports of the National Academy of Sciences of Ukraine, (6), 17–21. https://doi.org/10.15407/dopovidi2018.06.017

Issue

No. 6 (2018): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine

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