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Permutable products of supersoluble groups

Alejandre, Manuel; Ballester-Bolinches, Adolfo; Cossey, Peter (John)


We investigate the structure of finite groups that are the mutually permutable product of two supersoluble groups. We show that the supersoluble residual is nilpotent and the Fitting quotient group is metabelian. These results are consequences of our main theorem, which states that such a product is supersoluble when the intersection of the two factors is core-free in the group.

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Journal of Algebra
DOI: 10.1016/j.jalgebra.2003.01.002


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