On some generalizations of nearly normal subgroups

  • M. M. Piskun
  • N. N. Semko

Abstract

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.
Published
25.10.2009
How to Cite
PiskunM. M., and SemkoN. N. “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.
Section
Research articles