On finite factorized groups with $\mathbb TX$-subnormal subgroups

• Date: 2022
• Main Authors: Monakhov, V. S., Trofimuk, A. A., Монахов, В. С., Трофімук, О. О., Трофимчук, Александр
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6673
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.542 Let $\mathbb T$ be a subset of the set of all natural numbers satisfying the condition \begin{gather}\text{if}\,\, t\in\mathbb{T},\,\, \text{then}\,\, \mathbb{T}\,\, \text{contains all natural divisors of}\quad t.\tag{A}\end{gather} Recall that a subgroup $H$ is called a {\it $\mat...