ON FRATTINI SUBFORMATION OF MULTIPLY LOCA L FORMATION

Only finite groups are considered. It is continue study multiply local formations in the paper. Every formation is 0-multiply local. A forma tion (sic) is called n-multiply local (n>0) if (sic) has a local scree n all non-empty values of which are (n-1)-multiply local formations (A . N. Skiba, 1987). In this paper Phi(n) ((sic)) is the intersection of all maximal n-multiply local subformations of (sic), if (sic) has not such subformations then Phi(n) ((sic))=(sic). The formation Phi(n) (s ic) is called Frattini n-subformation of (sic). In cases n=0,1 this no tion had been introduced and had been studied by A. N. Skiba in the pa per <<(sic)>> //(sic).1981. T. 25, No 6, c. 492-495. In this paper the following theorem is proved. Theorem. Let (sic) be some n-multiply lo cal formation (n greater than or equal to 0) and let G epsilon(sic) is a soluble group. Then G/F(G)epsilon Phi(n)((sic)).