Groups, in which almost all subgroups are near to normal

• Datum: 2018
• Hauptverfasser: Semko, M. M., Kuchmenko, S. M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/993
• Назва журналу: Algebra and Discrete Mathematics

A subgroup \(H\) of a group \(G\) is said to be nearly normal, if \(H\) has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic by finite subgroups are nearly normal. It is not hard to show that und...