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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Datum:2020
Hauptverfasser: Kurdachenko, L. A., Subbotin, I. Ya., Velychko, T. V.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2020
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1357
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics