On groups, whose non-normal subgroups are either contranormal or core-free
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 = HG. 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 contranormal or core-free. In particular, we obtain the structure of some monolithic and non-monolithic groups with this property
2011 ◽
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2019 ◽
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pp. 1950074
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1991 ◽
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2020 ◽
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1984 ◽
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1985 ◽
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