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On some permutable products of supersoluble groups

Alejandre, Manuel; Ballester-Bolinches, Adolfo; Cossey, Peter (John); Pedraza-Aguilera, M C


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.

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Revista Matematica Iberoamericana


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