Abstract
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 .
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. [3] Cossey John , “Products of Fitting classes”, in preparation.
2. �ber normale Schunck- und Fittingklassen
3. [2] Bryce R.A. and Cossey John , “Metanilpotent Fitting classes”, J. Austral. Math. Soc. (to appear).
4. On normal Fitting classes
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