On the structure of some groups having finite contranormal subgroups

• 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
• 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.

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.