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A Fitting class construction

Published online by Cambridge University Press:  24 October 2008

Trevor Hawkes
Trevor Hawkes
Affiliation:
University of Warwick
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Extract

This note is devoted to the construction of a 〈Q, EΦ〉-closed Fischer class which is not a formation. It provides a negative answer to the Questions 3–7 raised by Cossey in (1). All groups considered are finite and soluble.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 3 , November 1976 , pp. 437 - 446
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)Cossey, John. Classes of finite soluble groups. Proc. Second Internat. Conf. Theory of Groups, Canberra 1973, pp. 226–237, Lecture Notes in Mathematics, No. 372 (Berlin, Heidelberg, New York; Springer-Verlag, 1974).Google Scholar
(2)Hawkes, Trevor. Bounding the nilpotent length of a finite group. Proc. London Math. Soc. (to appear).Google Scholar
(3)Huppert, B.Endliche Gruppen I (Berlin, Heidelberg, New York; Springer-Verlag, 1967).CrossRefGoogle Scholar