On some generalizations of nearly normal subgroups

• Date: 2009
• Main Authors: Piskun, M. M., Semko, N. N., Пискун, М. М., Семко, М. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3108
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A subgroup $H$ of a group $G$ is called almost polycyclically close to a normal group (in $G$) if $H$ contains a subgroup $L$ normal in $H^G$ for which the quotient group $H^G /L$ is almost polycyclic. The group G is called an anti-$PC$-group if each its subgroup, which is not almost polycyclic, is...