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-...
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| Datum: | 2019 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
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Видавничий дім "Академперіодика" НАН України
2019
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| Schriftenreihe: | Доповіді НАН України |
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/158089 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
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