Fitting Classes Of Finite Group And Related Problems

The theories of group classes developed on the foundation of research of finite solvable groups,yet resent years they play more and more important role for the finite group theory in general.In this paper,we construct two Fitting classes and both of them are closely related to the theory of finite simple group.In the investigation of group classes,we notice that quite a lot of groups in the group classes have the property similiar to that of the sylow subgroup in a group. And we considered two cases of this type.