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On the solubility of a product of permutable subgroups
Published online by Cambridge University Press: 09 April 2009
Abstract
Conditions are investigated under which a product G = HK of soluble subgroups H, K, each permutable in G, is soluble. It is shown in particular that this is true if one of the subgroups is nilpotent or if H ∩ K is subnormal in both H and K.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 22 , Issue 2 , September 1976 , pp. 252 - 255
- Copyright
- Copyright © Australian Mathematical Society 1976
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