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On Formations of Finite Groups with the Wielandt Property for Residuals

Ballester-Bolinches, Adolfo; Cossey, Peter (John); Ezquerro, L


Given two subgroups U, V of a finite group which are subnormal subgroups of their join <U, V> and a formation F, in general it is not true that (U, V)F = <UF , VF>. A formation is said to have the Wielandt property if this equality holds universally. A formation with the Wielandt property must be a Fitting class. Wielandt proved that the most usual Fitting formations (e.g., nilpotent groups and π-groups) have the Wielandt property. At present, neither a general satisfactory result on the...[Show more]

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
Source: Journal of Algebra
DOI: 10.1006/jabr.2001.8823


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