On some groups all subgroups of which are nearly pronormal

  • G. Vincenzi
  • L. A. Kurdachenko
  • A. Russo


A subgroup $H$ of a group $G$ is said to be nearly pronormal in $G$ if, for each subgroup $L$ of the group $G$ including H, the normalizer $N_L ( H)$ is contranormal in $L$. We prove that if $G$ is a (generalized) soluble group in which every subgroup is nearly pronormal, then all subgroups of $G$ are pronormal.
How to Cite
Vincenzi, G., L. A. Kurdachenko, and A. Russo. “On Some Groups All Subgroups of Which Are Nearly Pronormal”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 10, Oct. 2007, pp. 1331–1338, https://umj.imath.kiev.ua/index.php/umj/article/view/3392.
Research articles