The composition and derived lengths of a soluble group
The main result (Theorem 8) of this paper gives an upper bound on the derived length of a finite soluble group in terms of its composition length n. The bound is too unpleasant to state here; an approximation to it is \(\alpha\) \(log_ 2n+\beta\) where \(\alpha\) \(\doteq 2.578\) and \(\beta\) \(\doteq 8.785\).
scientific article; zbMATH DE number 4083896