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

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-mo...

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Үндсэн зохиолчид:	L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin
Формат:	Artigo
Хэл сонгох:	Inglês
Хэвлэсэн:	Publishing House "Akademperiodyka" 2024-04-01
Цуврал:	Доповiдi Нацiональної академiї наук України
Нөхцлүүд:	core-free subgroup, Dedekind group, normal subgroup
Онлайн хандалт:	https://nasu-periodicals.org.ua/index.php/dp/article/view/2173
Шошгууд:	Шошго нэмэх Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!