Geodesic
Оn the intersection of the factors for finite soluble products of groups
Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 20-27.

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For a Fitting or a normally hereditary saturated formation $\mathfrak{F}$ subgroups of soluble products $AB$ of finite $\mathfrak{F}$-groups that contain the intersection $A\cap B$ are studied. 
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A. F. Vasil'ev. Оn the intersection of the factors for finite soluble products of groups. Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 20-27. http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a2/

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