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Subgroup closed Fitting classes - Corrigenda

Published online by Cambridge University Press:  24 October 2008

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R. A. Bryce and John Cossey. ‘Subgroup closed Fitting classes.’

The proof of the main theorem (Theorem 1.1) in our paper (1) is incomplete. The entire page 203 does not establish what it purports to, the error lying in the assumption in the last paragraph that the group P(F0/φF0) R has nilpotent length three precisely. However, it could be of nilpotent length two, indeed in particular examples is so. The technique used there arose as a generalization of an ad hoc argument.

We discovered the error in attempting to extend the proof of Theorem 1.1, and in (2) we have indeed succeeded in removing the nilpotent length restriction. Page 203 of (1) must be replaced by a special case of Lemma 7.2 of (2).

Type
Corrigenda
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 2 , March 1982 , pp. 343
Copyright
Copyright © Cambridge Philosophical Society 1982

References

REFERENCES

(1)Bryce, R. A. and Cossey, John.Subgroup closed Fitting classes. Math. Proc. Cambridge Philos. Soc. 83 (1978), 195–204.CrossRefGoogle Scholar
(2)Bryce, R. A. and Cossey, John. Subgroup closed Fitting classes are formations. Math. Proc. Cambridge Philos. Soc. 91 (1982), 225–258.CrossRefGoogle Scholar