On mutually permutable products of generalized supersoluble subgroups of finite groups

Let J be a class of finite simple groups. We say that a finite group G is a J-group if all composition factors of G are contained in J. A group G is called Jc-supersoluble if every chief J-factor of G is a simple group. In this paper, properties of mutually permutable products of Jc-supersoluble finite groups are studied. Some earlier results on mutually permutable products of c-supersoluble groups (SC-groups) appear as particular cases.