Geodesic
A Remark on Subgroup Separability in the Class of Finite $\pi$-Groups
Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 904-909

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We prove that if a group $G$ is residually $\mathscr N$, then for every $\mathscr N$-subgroup of the group $G$, the set of $\pi'$-roots from this subgroup is a $\pi$-separable $\mathscr N$-subgroup. 
@article{MZM_2003_73_6_a11,
     author = {E. V. Sokolov},
     title = {A {Remark} on {Subgroup} {Separability} in the {Class} of {Finite} $\pi${-Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {904--909},
     publisher = {mathdoc},
     volume = {73},
     number = {6},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a11/}
}
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E. V. Sokolov. A Remark on Subgroup Separability in the Class of Finite $\pi$-Groups. Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 904-909. http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a11/