On $\Pi$-permutable subgroups in finite groups

• Date: 2026
• Main Authors: Hu, B., Huang, J., Adarchenko, N. M., Ху, Бин, Хуан, Цзяньхун, Адарченко, Никита М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/768
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.542 Let $\sigma =\{\sigma_{i} | i\in I\}$ be some partition of the set of all primes $\Bbb{P}$ and let $\Pi$ be a nonempty subset of the set $\sigma.$  A set ${\cal H}$ of subgroups of a finite group $G$ is said to be a \emph{complete Hall $\Pi$-set} of $G$ if every...