Finite groups with \(F\)-attainable subgroups. (Russian) Zbl 0689.20020
Summary: It is known that the p-length of a p-solvable finite group is equal to 1n if and only if every p-subgroup is a Sylow subgroup in a certain subnormal subgroup. In the present work, the normal structure of a group is established where every p-subgroup is the Sylow subgroup in a certain f-attainable subgroup.
MSC:
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
| 20D35 | Subnormal subgroups of abstract finite groups |
| 20D30 | Series and lattices of subgroups |
