On Fischer subgroups of finite groups

• Date: 2021
• Main Authors: Mao , Yu., Ma, X., Vorob'ev, N. Т., Karaulova, T. B., Yu., X., N. Т., Караулова, Татьяна, Мао, Ю., Ма, С., Воробйов, N. Т., Караулова, Т. Б.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6192
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.542 Let $\mathscr{F}$ be a Fitting set of a group $G,$ $\pi$ be a nonempty set of primes, and $L\leq G.$In this case, $\mathscr{F}$ is called a Fischer $\pi$-set of $G$ if conditions $L\in\mathscr{F},$ $K\unlhd L,$ and $H/K$ is a $p$-subgroup of $L/K$ for a prime $p\in \pi$ imply necessarily...