On the crossing of maximal subgroups of finite groups

• Date: 2026
• Main Authors: Borodich, R. V., Бородич, Р. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1528
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.542 We establish the structure of normghal subgroups in $\theta$-Frattini extensions, where $\theta$ is a subgroup functor. For a local Fitting structure $\frak F$ containing all nilpotent groups, it is shown that, in a solvable group, the crossing of $\frak F$-abnormal maximal $\theta$-sub...