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

TitleOn the structure of groups, whose subgroups are either normal or core-free
Publication TypeJournal Article
Year of Publication2019
AuthorsKurdachenko, LA, Pypka, AA, Subbotin, IYa.
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published04/2019

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-monolithic groups with this property.

Keywordscore-free subgroup, Dedekind group, normal subgroup

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