Resumen de On some permutable products of supersoluble groups

M.J. Alejandre, M.C. Pedraza, A. Ballester

• It is well known that a group G = AB which is the product of two supersoluble subgroups A and B is not supersoluble in general. Under suitable permutability conditions on A and B, we show that for any minimal normal subgroup N both AN and BN are supersoluble. We then exploit this to establish some sufficient conditions for G to be supersoluble.