On some groups all subgroups of which are nearly pronormal

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

Abstract

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.
Published
25.10.2007
How to Cite
VincenziG., KurdachenkoL. A., and RussoA. “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.
Section
Research articles