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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Bibliographic Details
Date:2020
Main Authors: Kurdachenko, L.A., Subbotin, I.Ya., Velychko, T.V.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2020
Series:Доповіді НАН України
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/170329
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine