On the crossing of maximal subgroups of finite groups
Abstract
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 $\theta$-subgroups not containing $\frak F$-radicals and not belonging to $\frak F$ coincides with the crossing of $\frak F$-abnormal maximal $\theta$-subgroups and belongs to the structure of $\frak F.$
Fields of Study & Subjects
Finite Group Theory Research
Advanced Topics in Algebra
Advanced Topology and Set Theory
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 71
- Issue
- 11
- Pages
- 1455–1465
- Publication date
- 9 February 2026
- Language
- EN