The composition and derived lengths of a soluble group
type: Item
instance of: scholarly article
title: The composition and derived lengths of a soluble group
zbMATH Open document ID: 0663.20015
DOI: 10.1016/0021-8693(89)90204-4
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: 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 \(\beta\) \(\doteq 8.785\).
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 4083896
zbMATH Keywords: derived length
zbMATH Keywords: finite soluble group
zbMATH Keywords: composition length
author: S. P. Glasby
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90204-4
OpenAlex ID: W2030968824
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description: scientific article; zbMATH DE number 4083896