Influence of c-Normality on p-Solvability of Finite Groups
The necessary and sufficient condition for finite groups to be p-nilpotent groups is given by u-sing c-normality,and two sufficient conditions for finite groups G to be p-supersolvable groups are ob-tained by investigating the c-normality of Sylow subgroups and their maximal subgroups.
c-normal subgroupsp-nilpotent groupsp-solvable groupsp-supersolvable groups