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On the non–periodic groups, whose subgroups of infinite special rank are transitively normal

This paper devoted to the non-periodic 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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Veröffentlicht in:	Algebra and Discrete Mathematics
Datum:	2020
Hauptverfasser:	Kurdachenko, L.A., Subbotin, I.Ya., Velychko, T.V.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Інститут прикладної математики і механіки НАН України 2020
Online Zugang:	https://nasplib.isofts.kiev.ua/handle/123456789/188503
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:	On the non–periodic groups, whose subgroups of infinite special rank are transitively normal / L.A. Kurdachenko, I.Ya. Subbotin, T.V. Velychko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 74–84. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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