On some generalizations of pronormal subgroups

TitleOn some generalizations of pronormal subgroups
Publication TypeJournal Article
Year of Publication2018
AuthorsPypka, AA
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published6/2018

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

Keywordsgeneralized radical group, GNA-subgroup, locally finite group, monopronormal subgroup, pronormal subgroup
  1. Ba, M. S. & Borevich Z. I. (1988). On arrangement of intermediate subgroups. Rings and linear groups (pp. 14-41). Krasnodar (in Russian).
  2. Pypka, A. A. & Turbay, N. A. (2015). On GNA-subgroups in locally finite groups. Izv. GGU im. F. Scoriny, No. 6, pp. 97-100.
  3. 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
  4. Baer, R. (1933). Situation der Untergruppen und Struktur der Gruppe. S.-B. Heidelberg Acad. Math.-Nat. Klasse., 2, pp. 12-17.
  5. 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.
  6. 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