Hostname: page-component-797576ffbb-vjhkx Total loading time: 0 Render date: 2023-12-03T14:27:27.436Z Has data issue: false Feature Flags: { "corePageComponentGetUserInfoFromSharedSession": true, "coreDisableEcommerce": false, "useRatesEcommerce": true } hasContentIssue false

On the Wielandt length of a finite supersoluble group

Published online by Cambridge University Press:  11 July 2007

A. Ali
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan


We develop a technique for calculating the Wielandt subgroup of a semidirect product of two finite groups of coprime order. We apply this technique to calculate the Wielandt length of a supersoluble group in terms of the Wielandt lengths of its Sylow subgroups (for small Wielandt lengths) and in terms of the nilpotency classes of its Sylow subgroups.

Research Article
Copyright © Royal Society of Edinburgh 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)