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On Fitting classes that are Schunck classes

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

John Cossey
John Cossey
Affiliation:
Department of Pure Mathematics, Faculty of Science, Australian National University, Canberra, A.C.T. 2600, Australia
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Abstract

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An example is given to show that a class of finite soluble groups that is both a Fitting class and a Schunck class need not be a formation. The novel feature of this class is that it is defined by imposing conditions on complemented chief factors of groups in it: this technique usually does not give rise to Fitting classes that are not formations.

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 30 , Issue 3 , February 1981 , pp. 381 - 384
Copyright
Copyright © Australian Mathematical Society 1981

References

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