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Zbl 0663.20015
Glasby, S.P.
The composition and derived lengths of a soluble group. (English)
[J] J. Algebra 120, No.2, 406-413 (1989). ISSN 0021-8693

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 $\alpha$ $log\sb 2n+\beta$ where $\alpha$ $\doteq 2.578$ and $\beta$ $\doteq 8.785$.
[M.F.Newman]

MSC 2000:: *20D10 Solvable finite groups
20D60 Arithmetic and combinatorial problems on finite groups

Keywords: derived length; finite soluble group; composition length

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