On the \(p\)-length of the mutually permutable product of two \(p\)-soluble groups. (English) Zbl 1494.20030
Summary: Let a finite group \(G=AB\) be the mutually permutable product of two \(p\)-soluble subgroups \(A\) and \(B\) for some prime \(p\). We give a bound of the \(p\)-length of \(G\) from the \(p\)-lengths of \(A\) and \(B\).
MSC:
| 20D40 | Products of subgroups of abstract finite groups |
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
References:
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