Characterization of f-prefrattini subgroups of finite groups by the covering avoidance property of chief factors of a group. (Russian) Zbl 0592.20023
Arithmetical and subgroup construction of finite groups, Collect. Artic., Minsk 1986, 43-57 (1986).
[For the entire collection see Zbl 0591.00008.]
The author gives a characterization of f-prefrattini subgroups of a \(\pi\)-solvable group under the condition that the p-length of G is 1 for all \(p\in \pi\).
The author gives a characterization of f-prefrattini subgroups of a \(\pi\)-solvable group under the condition that the p-length of G is 1 for all \(p\in \pi\).
Reviewer: Ya.G.Berkovich
MSC:
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D25 | Special subgroups (Frattini, Fitting, etc.) |
