Finite groups with all \(n\)-maximal (\(n=2,3\)) subgroups \(K\)-\(\mathcal U\)-subnormal. (Russian. English summary) Zbl 1301.20012
Summary: A full classification of finite groups with all \(n\)-maximal (\(n=2,3\)) subgroups \(K\)-\(\mathcal U\)-subnormal is given.
MSC:
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D35 | Subnormal subgroups of abstract finite groups |
| 20D25 | Special subgroups (Frattini, Fitting, etc.) |
| 20E28 | Maximal subgroups |
