On groups, whose non-normal subgroups are either contranormal or core-free

• Published in: Доповіді НАН України
• Date: 2020
• Main Authors: Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2020
• Subjects: Математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/173757
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On groups, whose non-normal subgroups are either contranormal or core-free / L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Доповіді Національної академії наук України. — 2020. — № 10. — С. 3-8. — Бібліогр.: 15 назв. — англ.

We investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of a group G is called contranormal in G, if G = H^G. A subgroup H of a group G is called core-free in G, if CoreG(H) = 〈1〉. We study the groups, in which every non-normal subgroup is either co...