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Derived \(p\)-length of a \(p\)-soluble group with limited factors. (Russian. English summary) Zbl 07880667

Summary: The functional dependence of the estimate of the derived \(p\)-length of a \(p\)-soluble group on the value of the indexes of Fitting \(p\)-subgroups in its normal closures is determined. The estimations of the derived \(p\)-length of a \(p\)-soluble group with limited cofactors of primary subgroups are obtained.

MSC:

20-XX Group theory and generalizations
54-XX General topology