ON Fω-SUBNORMAL SUBGROUPS OF FINITE GROUPS
We consider finite groups only. Let P be a set of all primes and ω be a nonempty subset of the set P. The properties of Fω-subnormal subgroups of finite groups are studied in the paper. The necessary and sufficient conditions under which the set of all Fω-subnormal subgroups of any finite groups form a lattice have been established.