Finite groups with some \(c\)-normal minimal subgroups. (English) Zbl 0967.20009
Let \(G\) be a finite group. The question of how the properties of its minimal subgroups influence the structure of \(G\) is of considerable interest for some scholars. Several authors have investigated this question by using normal or quasinormal conditions. In this paper the authors use the \(c\)-normal condition on minimal subgroups to characterize the structure of \(G\) through the theory of formations.
Reviewer: W.E.Deskins (Pittsburgh)
MSC:
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
| 20D15 | Finite nilpotent groups, \(p\)-groups |
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