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Subgroup closed Fitting classes

Published online by Cambridge University Press:  24 October 2008

R. A. Bryce  and
John Cossey
R. A. Bryce
Affiliation:
Australian National University, Canberra
John Cossey
Affiliation:
Australian National University, Canberra
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 2 , March 1978 , pp. 195 - 204
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), 217–223.Google Scholar
(2)Bryce, R. A. and Cossey, J.Metanilpotent Fitting classes. J. Austral. Math. Soc. 17 (1974), 285–304.CrossRefGoogle Scholar
(3)Carter, R., Fischer, B. and Hawkes, T.Extreme classes of finite soluble groups. J. Algebra 9 (1968), 285–313.Google Scholar
(4)Hawkes, T. O.On Fitting formations. Math. Z. 117 (1970), 177–182.Google Scholar
(5)Neumann, B. H.Twisted wreath products of groups. Arch. Math. 14 (1963), 1–6.Google Scholar
(6)Neumann, H. Varieties of groups. Ergebnisse der Mathematik und ihrer Grenzgebeite (Berlin, Heidelberg, New York, Springer-Verlag, 1967).Google Scholar