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On the solubility of a product of permutable subgroups

Published online by Cambridge University Press:  09 April 2009

John C. Lennox
John C. Lennox
Affiliation:
Mathematics Institute, University College, Cardiff.
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Abstract

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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

References

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