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A Hall-type closure property for certain Fitting classes

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Owen J. Brison
Owen J. Brison
Affiliation:
Departamento de Matemática, Faculdade de Ciências, Rua Ernesto de Vasconcelos, Bloco C1, Piso 3, 1700 Lisboa, Portugal
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Abstract

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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.

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 2 , October 1995 , pp. 204 - 213
Copyright
Copyright © Australian Mathematical Society 1995

References

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