C-Normality of Groups and Its Properties Original Research Article

A subgroupHis calledc-normal in groupGif there exists a normal subgroupNofGsuch thatHN=GandH∩N≤HG, where[formula]is the maximal normal subgroup ofGwhich is contained inH. We obtain some results about thec-normal subgroups and use them to determine the structures of some groups.