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On the solubility of a product of permutable subgroups
1976
Journal of the Australian Mathematical Society
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 n K is subnormal in both H and K.
doi:10.1017/s1446788700015366
fatcat:vmttgfre35d5zilohgaadfgole