摘要
有限群论中,通常利用子群的性质来刻画有限群的结构.为进一步研究次正规子群对有限群p-幂零群的影响,考虑Sylow子群的极大子群或2-极大子群满足次正规性,给出群G为p-幂零群的若干充分条件,并将其结果推广到群系.
The study of the structure of finite groups by means of its subgroups plays a key role in the group theory. In this paper, we consider the p - nilpoteney of a finite group G by assuming that the maximal or 2 - maximal subgroups of the Sylow subgroups of G have sub - normality, on the basis of which some sufficient conditions for a group G to be p - nilpotent are given and these results are general- ized to formations.
出处
《湖州师范学院学报》
2010年第2期9-12,共4页
Journal of Huzhou University
关键词
次正规子群
正规子群
P-幂零群
subnormal subgroups
normal subgroups
p - nilpotent groups
