On $\sigma$-subnormal subgroups of finite 3'-groups

• Date: 2020
• Main Authors: Kamornikov, S. F., Tyutyanov, V. N., Каморников, С. Ф., Тютянов, В. Н.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1037
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.542 For a partition $\sigma$ of the set $\mathbb{R}$ of all primes, it is solved that if every complete Hall set of type $\sigma$ of a finite $3 \prime$-group $G$ is reducible in some subgroup $H$ of $G$, then $H$ is $\sigma$ -subnormal in $G$.