Author(s): Behnam Razzaghmaneshi
Two subgroups A and B of a group G are called permutable if every subgroup X of A is permutable with every subgroup Y of B, i.e., XYis a subgroup of G. In this case, if G=AB we say that G is the permutable product of the subgroups A and B. In this paper we check the permutable product of supersoluble subgroups. And the end, we obtain sufficient conditions for permutable products of finite supersoluble groups to be supersoluble.
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