A subgroup H of a finite group G is called a c#-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and H n K is a CAP-subgroup of G. In this paper, we investigate the influence of fewer c#-...
This work was supported in part by the National Natural Science Foundation of China (Grant No. 11071229) and the Natural Science Foundation the Jiangsu Higher Education Institutions (Grant No. J0KJD110004).
Suppose that G is a finite group and H is a subgroup of G. H is said to be s-quasinormally embedded in G if for each prime p dividing │H│, a Sylow p-subgroup of H is also a Sylow p-subgroup of some s-quasinormal sub...