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On Formations of Finite Groups with the Wielandt Property for Residuals

✍ Scribed by A Ballester-Bolinches; J Cossey; L.M Ezquerro

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
170 KB
Volume
243
Category
Article
ISSN
0021-8693

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✦ Synopsis

dedicated to k. doerk on his 60th birthday

Given two subgroups U V of a finite group which are subnormal subgroups of their join U V and a formation , in general it is not true that U V = U V . 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 Ο€-groups) have the Wielandt property. At present, neither a general satisfactory result on the universal validity of the Wielandt property nor a counterexample is known. In this paper a criterion for a Fitting formation to have

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