On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
This paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G is Abelian.
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| Datum: | 2020 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
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Видавничий дім "Академперіодика" НАН України
2020
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| Schriftenreihe: | Доповіді НАН України |
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/170329 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal / L.A. Kurdachenko, I.Ya. Subbotin, T.V. Velychko // Доповіді Національної академії наук України. — 2020. — № 2. — С. 3-6. — Бібліогр.: 10 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | This paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are
transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite
special rank, then G is Abelian. |
|---|