Intersection of Functorial Subgroups in Finite Groups / Borodich R.V.and Shpyrko O.A. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. ? 5. P. 3-6 [Moscow Univ. Math. Bulletin. Vol. 66, N 5, 2011.].

Intersections of given maximal subgroups of finite groups are studied. General properties of the generalized Frattini subgroup are established with the help of functorial methods.

Key words: finite group, maximal subgroup, Frattini subgroup, functor.