Intersection of functorial subgroups in finite groups
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 3-6

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Intersections of given maximal subgroups of finite groups are studied. General properties of the generalised Frattini subgroup are established with the help of the functor method.
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R. V. Borodich; O. A. Shpyrko. Intersection of functorial subgroups in finite groups. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 3-6. http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a0/