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Finite soluble groups with certain splitting properties

Published online by Cambridge University Press:  09 April 2009

R. A. Bryce  and
John Cossey
R. A. Bryce
Affiliation:
Pure Mathematics Department School of General Studies, Australian National University, Box 4, P.O. Canberra, A.C.T. Australia
John Cossey
Affiliation:
Pure Mathematics Department School of General Studies, Australian National University, Box 4, P.O. Canberra, A.C.T. Australia
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Abstract

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Abstract. In a recent paper, Bechtell obtained detailed structure theorems for finite supersoluble groups with the property that every minimal supplement for a non-Frattini normal subgroup is a complement. We consider finite soluble groups with this property. The situation is rather different to the supersoluble case, and the information we obtain is not as complete, though for such groups with non-trivial Frattini subgroup, some of the results are analogous.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 2 , September 1972 , pp. 237 - 246
Copyright
Copyright © Australian Mathematical Society 1972

References

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