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Finite soluble groups with certain splitting properties
Published online by Cambridge University Press: 09 April 2009
Abstract
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