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A Construction for Fitting-Schunck classes

  • John Cossey (a1), Elizabeth A. Ormerod (a1) and H. Lausch

Abstract

A method for constructing Fitting-Schunck classes is given: the method is an adaptation of one given by C. L. Kanes for constructing Fitting formations, and generalizes the Fitting-Schunck class construction given by Cossey in 1981. A criterion for deciding which of the Fitting-Schunck classes so constructed are formations is given.

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References

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[1]Barnes, D. W., ‘On complemented chief factors of finite soluble groups’, Bull. Austral. Math. Soc. 7 (1972), 101104.
[2]Cossey, John, ‘On Fitting classes that are Schunck classes’, J. Austral. Math. Soc. 30 (1981), 381384.
[3]Cossey, John and Kanes, C. L., ‘A construction for Fitting formations’, J. Algebra, to appear.
[4]Hawkes, T. O., ‘On Fitting formations’, Math. Z. 117 (1970), 177182.
[5]Higman, Graham, ‘Complementation of abelian normal subgroups’, Publ. Math. Debrecen 4 (1956), 455458.
[6]Huppert, B., ‘Endliche Gruppen I’ (Die Grundlehren der Mathematischen Wissenschaften 137, Springer Verlag, Berlin, Heidelberg, New York, 1967).
[7]Huppert, B. and Blackburn, N., Finite Groups II (Die Grundlehren der Mathematischen Wissenschaften 242, Springer Verlag, Berlin, Heidelberg, New York, 1982).
[8]Kanes, C. L., ‘Constructions for Fitting formations’. (PhD Thesis, ANU, 1982).
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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