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

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Kurdachenko, L.A., Subbotin, I.Ya., Velychko, T.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188503
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.