Conjugate-permutability, semi-normality and the maximal subgroups of Sylow subgroups. (Chinese. English summary) Zbl 1349.20027
Summary: Based on the concepts of semi-normal subgroups and conjugate-permutable subgroups, this paper investigates the supersolvability of a group \(G\) under the condition that every maximal subgroup of Sylow subgroups of group \(G\) is either conjugate-permutable or semi-normal.
MSC:
| 20D40 | Products of subgroups of abstract finite groups |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
| 20E28 | Maximal subgroups |
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
