On the solvability of a finite group with $S$-seminormal Schmidt subgroups

• Date: 2018
• Main Authors: Zubei, E. V., Knyagina, V. N., Monakhov, V. S., Зубей, E. В., Княгина, В. Н., Монахов, В. С.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1654
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A finite nonnilpotent group is called a Schmidt group if all its proper subgroups are nilpotent. A subgroup $A$ is called $S$-seminormal (or $SS$-permutable) in a finite group $G$ if there is a subgroup B such that $G = AB$ and $A$ is permutable with every Sylow subgroup of B. We establish the crite...