On the solubility of a product of permutable subgroups

John C. Lennox
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