J Austral Math Soc Ser A 59 pp204--213, 1995.

A Hall-Type Closure Property for Certain Fitting Classes

Owen J. Brison

(Received 27 July 1991; revised 4 February 1993)

Abstract

A closure operation connected with Hall subgroups is introduced for classes of finite soluble groups, and it is shown that this operation can be used to give a criterion for membership of certain special Fitting classes, including the so-called 'central-socle' classes.

1991 AMS Subject Classification: 20D10

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Authors

Owen J. Brison: Departamento de Matematica, Faculdade di Ciencias, Rua Ernesto de Vasconcelos, Bloco C1, Piso 3, 1700 Lisboa, Portugal.

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Last Modified: Thu Jan 9 9:04:24 2003