Finite groups with some maximal subgroups of Sylow subgroups Q-supplemented

A subgroup H is called Q-supplemented in a finite group G, if there exists a subgroup K of G such that G = HK and H boolean AND K is contained in H-QG, where H-QG is the maximal quasinormal subgroup of G contained in H. In this article, we investigate the influence of Q-supplementation of some primary subgroups in finite groups. Some recent results are generalized.