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On a theorem of Bryce and Cossey

Published online by Cambridge University Press:  17 April 2009

A. Ballester-Bolinches  and
L.M. Ezquerro
A. Ballester-Bolinches
Affiliation:
Departament d'ÀlgebraFacultat de Ciencies MatemàtiquesUniversitat de ValènciaC/ Dr. Moliner 5046100 Burjassot (València)Spain
L.M. Ezquerro
Affiliation:
Departamento de Matemática e InformáticaUniversidad Pública de NavarraCampus de Arrosadía31006 Pamplona (Navarra)Spain
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Abstract

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In this paper we characterise the subgroup–closed Fitting formations of finite groups which are saturated. This is an extension of the Bryce and Cossey result proving the saturation of all subgroup-closed Fitting formations of finite soluble groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 455 - 460
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Bryce, R.A. and Cossey, J., ‘Fitting formations of finite soluble groups’, Math. Z. 127 (1972), 217–223.CrossRefGoogle Scholar
[2]Doerk, K. and Hawkes, T., Finite soluble groups (Walter de Gruyter, Berlin, New York, 1992).CrossRefGoogle Scholar
[3]Griess, R.L. and Schmid, P., ‘The Frattini module’, Arch. Math. 30 (1978), 256–266.CrossRefGoogle Scholar
[4]Huppert, B. and Blackburn, N., Finite groups II (Springer-Verlag, Berlin, Heidelberg, New York, 1982).CrossRefGoogle Scholar