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On the definition of saturated formations of groups

Published online by Cambridge University Press:  17 April 2009

John Cossey  and
Sheila Oates Macdonald
John Cossey
Affiliation:
School of General Studies, The Australian National University, Canberra, ACT, and The University of Queensland, St Lucia, Queensland.
Sheila Oates Macdonald
Affiliation:
School of General Studies, The Australian National University, Canberra, ACT, and The University of Queensland, St Lucia, Queensland.
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Abstract

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We exhibit a closure operation which serves to define saturated formations of finite soluble groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1971 , pp. 9 - 15
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Bryant, R.M., Bryce, R.A. and Hartley, B., “The formation generated by a finite group”, Bull. Austral. Math. Soc. 2 (1970), 347–357.Google Scholar
[2]Gaschütz, Wolfgang, Selected topics in the theory of soluble groups (Lectures given at the Ninth Summer Research Institute of the Australian Mathematical Society in Canberra, 1969. Notes by J. Looker).Google Scholar
[3]Huppert, Bertram, Endliche Gruppen I (Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin, Heidelberg, New York, 1967).Google Scholar
[4]Kovács, L.G. and Newman, M.F., “On critical groups”, J. Austral. Math. Soc. 6 (1966), 237–250.CrossRefGoogle Scholar
[5]Kovács, L.G. and Newman, M.F., “On non-Cross varieties of groups”, J. Austral. Math. Soc. (to appear).Google Scholar
[6]Neumann, Hanna, Varieties of groups (Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 37, Springer-Verlag, Berlin, Heidelberg, New York, 1967).Google Scholar