Abstract：Let H be a normal subgroup of group G, p a prime divisor of ｜H｜and P a Sylow p-subgroup of H.If one of the following condictions holds,then H is p-nilpotent: 1) All maximal subgroups of P are CAP-subgroups of G and (｜H｜,p-1)=1; 2) All 2-maximal subgro
2004, Vol. 28 