Geodesic
On $p$-supersoluble residual of a product of normal $p$-supersoluble subgroups
Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 88-96

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Let a finite group $G$ be a product of two normal $p$-supersoluble subgroups. We prove that the $p$-supersoluble residual of $G$ coincides with the $p$-nilpotent residual of the commutator subgroup of $G$. Hence it follows that the supersoluble residual of a product of normal supersoluble subgroups coincides with the nilpotent residual of the commutator subgroup. 
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     author = {V. S. Monakhov and I. K. Chirik},
     title = {On $p$-supersoluble residual of a product of normal $p$-supersoluble subgroups},
     journal = {Trudy Instituta matematiki},
     pages = {88--96},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a11/}
}
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V. S. Monakhov; I. K. Chirik. On $p$-supersoluble residual of a product of normal $p$-supersoluble subgroups. Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 88-96. http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a11/