On some generalizations of nearly normal subgroups
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 almost polycyclically close to normal. The structure of minimax anti-$PC$-groups is investigated.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 10, pp 1624-1639.
Citation Example: Piskun M. M., Semko N. N. On some generalizations of nearly normal subgroups // Ukr. Mat. Zh. - 2009. - 61, № 10. - pp. 1381-1395.