On the crossing of maximal subgroups of finite groups

• Datum: 2026
• Hauptverfasser: Borodich, R. V., Бородич, Р. В.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1528
• Назва журналу: 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...