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On the supersoluble residual of mutually permutable products

Published 7 Dec 2016 in math.GR | (1612.02349v1)

Abstract: We prove that if a group G=ABG=AB is the mutually permutable product of the supersoluble subgroups AA and BB, then the supersoluble residual of GG coincides with the nilpotent residual of the derived subgroup $G'$.

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