On the structure of groups, whose subgroups are either normal or core-free

• Date: 2019
• Main Authors: Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2019
• Series: Доповіді НАН України
• Subjects: Математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/158089
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the structure of groups, whose subgroups are either normal or core-free / L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Доповіді Національної академії наук України. — 2019. — № 4. — С. 17-20. — Бібліогр.: 8 назв. — англ.

We investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of the group G is called core-free if CoreG(H) = 〈1〉. We study the groups, in which every subgroup is either normal or core-free. More precisely, we obtain the structures of monolithic and non-...