On the structure of some groups having finite contranormal subgroups

Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2021
Main Authors: Kurdachenko, L.A., Semko, N.N.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188680
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine