研究某些Sylow子群的极大子群或二次极大子群的半覆盖-远离性或x-半置换性对有限群的P-幂零性的影响,得到有限群成为P-幂零群的几个充分和必要条件.
The influence of semi-cover-avoiding and X - semipermutable properties of maximal and 2-maximal subgroups of some Sylow subgroups on the p - nilpotency of finite groups are investigated. Some sufficient and necessary conditions for a finite group to be p- nilpotent are obtained.