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A criterion for the Hall-closure of Fitting classes

Published online by Cambridge University Press:  17 April 2009

Owen J. Brison
Owen J. Brison
Affiliation:
Secção de Matemática Pura, Faculdade de Ciências, Avenida 24 de Julho, 134, 3°, 1.300 Lisboa, Portugal.
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Abstract

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In a recent paper, Cusack has given a criterion, in terms of the Fitting class “join” operation, for a normal Fitting class to be closed under the taking of Hall π-subgroups. Here we show that Cusack's result can be slightly modified so as to give a criterion for any Fitting class of finite soluble groups to be closed under taking Hall π-subgroups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 3 , June 1981 , pp. 361 - 365
Copyright
Copyright © Australian Mathematical Society 1981

References

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