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On intersection of maximal subgroups of the set indexes in groups with operators. (Russian. English summary) Zbl 1301.20011

Summary: The properties of intersections of maximal subgroups in groups with operators are studied.

MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20E28 Maximal subgroups
20D25 Special subgroups (Frattini, Fitting, etc.)
20D60 Arithmetic and combinatorial problems involving abstract finite groups