Geodesic
On the supersoluble residual of mutually permutable products
Problemy fiziki, matematiki i tehniki, no. 1 (2018), pp. 69-70

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We prove that if a group $G=AB$ is the mutually permutable product of the supersoluble subgroups $A$ and $B$, then the supersoluble residual of $G$ coincides with the nilpotent residual of the derived subgroup $G'$.
Keywords: finite group, supersoluble subgroup, mutually permutable product, residual. 
@article{PFMT_2018_1_a11,
     author = {V. S. Monakhov},
     title = {On the supersoluble residual of mutually permutable products},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {69--70},
     publisher = {mathdoc},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2018_1_a11/}
}
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V. S. Monakhov. On the supersoluble residual of mutually permutable products. Problemy fiziki, matematiki i tehniki, no. 1 (2018), pp. 69-70. http://geodesic.mathdoc.fr/item/PFMT_2018_1_a11/