On finite dinilpotent groups. (English) Zbl 0784.20012
The following is proved: Let \(G=AB\) be a finite group with nilpotent subgroups \(A\) and \(B\) and let \(N\) be a minimal normal subgroup of \(G\). Then \(AN\) or \(BN\) is nilpotent.
Reviewer: H.Heineken (Würzburg)
MSC:
| 20D40 | Products of subgroups of abstract finite groups |
| 20D15 | Finite nilpotent groups, \(p\)-groups |
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
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