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Subgroup closed Fitting classes

Published online by Cambridge University Press:  24 October 2008

R. A. Bryce
Affiliation:
Australian National University, Canberra
John Cossey
Affiliation:
Australian National University, Canberra

Extract

In (1) we showed that a subgroup closed Fitting formation is a primitive saturated formation, and in (2) we showed that a subgroup closed and metanilpotent Fitting class is a formation. Whether or not a subgroup closed Fitting class is always a formation is a question that has plagued us ever since. The purpose of this paper is to prove

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

(1)Bryce, R. A. and Cossey, J.Fitting formations of finite soluble groups. Math. Z. 127 (1972), 217223.Google Scholar
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