On some generalizations of nearly normal subgroups

  • M. M. Piskun
  • N. N. Semko


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.
How to Cite
Piskun, M. M., and N. N. Semko. “On Some Generalizations of Nearly Normal Subgroups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 10, Oct. 2009, pp. 1381-95, https://umj.imath.kiev.ua/index.php/umj/article/view/3108.
Research articles