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Maximal Fitting classes of finite soluble groups

Published online by Cambridge University Press:  17 April 2009

R.A. Bryce  and
John Cossey
R.A. Bryce
Affiliation:
Department of Pure Mathematics, School of General Studies, Australian National University, Canberra, ACT.
John Cossey
Affiliation:
Department of Pure Mathematics, School of General Studies, Australian National University, Canberra, ACT.
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From recent results of Lausch, it is easy to establish necessary and sufficient conditions for a Fitting class to be maximal in the class of all finite soluble groups. We use Lausch's methods to show that there are normal Fitting classes not contained in any Fitting class maximal in the class of all finite soluble groups. We also find conditions on Fitting classes and for to be maximal in .

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 2 , April 1974 , pp. 169 - 175
Copyright
Copyright © Australian Mathematical Society 1974

References

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[2]Bryce, R.A. and Cossey, John, “Metanilpotent Fitting classes”, J. Austral. Math. Soc. (to appear).Google Scholar
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