Notes on the length of conjugacy classes of finite group. II. (Chinese. English summary) Zbl 1488.20050
Summary: We investigate the influence of the lengths of conjugacy classes of elements of prime power order in some factorized finite groups on \(p\)-nilpotence and supersolvability of finite groups. Several results are improved.
MSC:
| 20D60 | Arithmetic and combinatorial problems involving abstract finite groups |
| 20E45 | Conjugacy classes for groups |
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D15 | Finite nilpotent groups, \(p\)-groups |
